{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pymc3 as pm\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import theano.tensor as tt\n",
    "import scipy.stats as stats\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns; \n",
    "palette = 'muted'\n",
    "sns.set_palette(palette); sns.set_color_codes(palette)\n",
    "np.set_printoptions(precision=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Kernelized Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WW2/p2muvtbqMsA0aNCiwLsHr9aq9vV0dHR0WVxW6w4cP69prr9Wf/vQnffOb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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f64695cef98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(1)\n",
    "x = np.random.uniform(0, 10, size=20)\n",
    "y = np.random.normal(np.sin(x), 0.2)\n",
    "plt.plot(x, y, 'o')\n",
    "plt.xlabel('$x$', fontsize=16)\n",
    "plt.ylabel('$f(x)$', fontsize=16, rotation=0)\n",
    "plt.savefig('B04958_08_01.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def gauss_kernel(x, n_knots):\n",
    "    \"\"\"\n",
    "    Simple Gaussian radial kernel\n",
    "    \"\"\"\n",
    "    knots = np.linspace(x.min(), x.max(), n_knots)    \n",
    "    w = 2 \n",
    "    return np.array([np.exp(-(x-k)**2/w) for k in knots])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "n_knots = 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10000/10000 [00:03<00:00, 3185.70it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as kernel_model:\n",
    "    gamma = pm.Cauchy('gamma', alpha=0, beta=1, shape=n_knots)\n",
    "    sd = pm.Uniform('sd',0,  10)\n",
    "    mu = pm.math.dot(gamma, gauss_kernel(x, n_knots))\n",
    "    yl = pm.Normal('yl', mu=mu, sd=sd, observed=y)\n",
    "    kernel_trace = pm.sample(10000, step=pm.Metropolis())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Fdv3aE9L7f7WX2WMlTvxojPzmLIZ1cTqzy7KEI6tsTS6fvLwcObONTqubIX9w\n1QRXzcWNbdvcfPPNfPaznz0n58/lcpTLTTkAlQr5/OrFJ/L5+WeuygxTlkdvcj1dRobJUuvzuK4z\nx3Oze8jb8efZjMl0tUA+fXqFJIY41HL9ZZFFMALacgnEGpL7pzhJwwwwIZ9svYadiujJtHGodIC8\nufr11yRjjaQBc3KcfDLNpsxmpr0pnGjpNhBVMd1QUvtS67EsSZ7VrzUjhsn5HsoMQRYw81vpzGaY\nq6TpS61n3B2jLZnE91rPZWYD8tb8Z6paRKZjPcloSyPMupqlsGtyzFljjWPydjvFYI48abIZk55U\nG4MzfkNm1VYlCErkE2sbr+SCex3nOJaw6U52M+uOtXxvKl0lY+cZLA61nF+KJEq06nqJdMC6dTlO\nThfJ2IrNuW7SHVvY7xwhF/bgRi6BKTDyadrabfKVFGYYcnX+1ewrznuBdnVt5Vg5BL/Z69Oqikqq\nq35nU+IkeTuN8qpkU2YsrzAw2lIgI6Qby190XqGSd+nJRARulXy+tbhH5MT7tWVT9PTECyijzkjL\nd+olCo3ns8TEorm/HAKDrmQX01785KQycKLa+nyOcASVqpCuzRkzn0ZFIdK1AR+zzQbWFpZYTkwy\nJ8dJp+f3N3Lx3wufN4VLu92JDOLP5cxQLHFXf8t+XbkMhfLy96ukRM4Mkcp00dPTRiAD9hZeAGBj\nehNTzgj5RGrZ4ytMk08tPr+cGULhIawURnZpQ3gtLHwealJTsabYlD/7BY7WbFR9/etf53/8j//B\nDTfcwO7du3nNa3TVt0uRaDxeVTT7lq8atBaEEGRuupnyPz1M+bFHyN/7Ia2cngfKTsQ//mCKhCW4\n7x3r6Wm3+eDNffzpPwzx/z5TaBhVk/tmQUHvNZ2n9L1kulP0vbaL8b0znPzxOFtvOLN5cq6YqK2O\nn24Vn/7EFl6uvsBMOL1sHLjm4uTrX/9642+lFIcPH8ayzk7QxUKvw2WXXcbg4CDFYpFUKsWePXu4\n9957Vz1Psdiq8BdxGJ03SVr4SXlPiwfk5eL8KnHKyDTC1q7OvJZ91b1rvpd5BEuVJy8XYs+cmpxA\npVdRWkIfTBtW+C0pFo9zhOMrn0cpEIJ8Pr1ojFZmft8wsJBhgmIw03LOpWWKvdECgSVskkZq2TAi\nUZ2ZD18TITLhMOWWKfoOKcelGDgIq0wxqELggJ0CYbC32Bo2ZszMezxlsRqP20K5mu7HsnIUw/jf\nA5VhjjP56wyjAAAgAElEQVRMpWYw5vNpXh47sOj4U8dhhtq9RUFcIU8Y7CseWryrkoiqg/BaQw6P\nuAcIvAxlx0WqiKJ08ZXLJvMyqt5hZvw5fNNAWQ4/KT5D2sjgKZ9KFFGszN/vZFRiznMb93y6CLcI\nfpWMLXGcWFZbJAgGF4+XnKtSno0XlGVt3iWNFJ50MWrHFqWDMRl7oUe8qRb5HDEee/JkCMJc8Tlo\nEPnkAki3byGn4jC0l4v7l97XdxpyyKIDgdv67zVSZBiC+XMByJJLviu55PPWPA+NYnzvckHu5Lhb\noOgvPjZlZHC9GYxS/C52yhUOGsdbQo6LxXqeXBqBgSPX3oanLg/OKDJa2aNkCmuRN6+5MupSFHGw\nKjkyZhZLWA2D+kxZ05vo+uuv5/rrr8d1Xb7zne/wR3/0R+RyOW6//XZ+7/d+T3uvLiGiiTGMjk6M\n1PIrB2sl+frr8J7bQ3BwP/7+l0lefc1ZkFCzEv/fswVKjuSdv9FFT3v8st7el+TVW9O8POhwdNRl\nx/okU/sKGLZB9672U77Gpl/rY+5EmfG9M1hpi/7r1xYedD6ZqOUK9NqnZ/RtqhlVw/6gNqouMZ55\n5pmWf3d2dvI3f/M3Z+Xc9QWIb37zmziOwx133MHHP/5x3ve+96GU4o477qC3d+Ucvu3Zy6gGksPO\nvjVdc7kXf5vZzqbkVo67R+iwujCFSbvV2RIuU0/yPuIcXEFhUWSM7KJ8mwZyldCiwMEojaOSOVT2\n9J8V4cwhnFlkvh/W4Dlaig6ri6SRIlMrICFK44jAQXZtW/G4y9NXkTRScb6JrLQUCxHVGQg9RNjs\nOVG0W52N0Kf5ymsSUZlE+LGhKzu3IoSBEAYGxpIl0FfDU/Pf/1p6LEFc4GRheNyaiAKMuWGUlULl\nFy9IbUnsYGj8B7Bk8QxJ4MbFSephY6FfIJGOn4ec2cYMZZARCAMnLGGasTLcn9zKsDfYCJ1bLuys\nzWynKitrCncT1ZpRbc/rn8ud1yg25fwpCcJgU2IbCSPBwZnjAMyGs5ysPI9AkG0ulS9DQq8Adhqj\nOIqyU6i2eOwWPo8t8jkFjMjEq4xiZRcXc0kZ6fnQzeY1D6VYahGkgVeODXXrLISuBS4YFtS8qZaw\nWZi911w1s/l+Nye2cHSq9Tdu2BuAJYqyJESSrakdy1a7XMRqv0lN5Mw8ffZGbGEzHU42wpHzZjuT\ntfG9JvsrFMM5hvzBlrk16B0lY+a4LLVrzddbjTUv7z3zzDM8/vjj/PjHP+Ytb3kLt9xyCz/5yU/4\n0Ic+xBe+8IWzJpDm3CEdBzlXwN61QizyKSCEIPs7uyn89X6cJ/+VxFWv1t6qc0ixGvHEi3N0ZE3+\n/etbjaWbr+3g5UGHf3ulRK+K8IoB3Ve2YyZWD+tZiGkbXPG729j/6ADDT09gmIIN115chsdYrbLY\nSn1aVqI/uQWAYe8kr8lee9bk0px7/vt//+/n5Lz9/f185StfAeDWW29tfP7Wt76Vt771rWs+T3ey\nG2ms0thSSYhCsOYVwoUrq7F3xWJnej5EpdqUrL4xsbnx92bViZnYzH5/aa9G3uqg6p9es3YRxmqW\n8MqnbVT12htIlCM826ISnH4Dznr7BEMYELiIoK6U1rxVXgUReahM62p7XdkWQpA1cw0vBYHbUlyh\ngVIIBKP1JHcZIZwCUTrVMKjSRpZtmdc0Ksa50mkpER5f12Bjciso1SjpvJBTaaCaMtIYGIv6Wi21\nUr8kUWz0idBdpLb32OvjedmkRHdZ65gJWz2sEoVVCw0Mvfmxy5l5Zr1pROEkyk4jAodU2zbIQJfV\nTZfVjZKKyI8wltETFGppw0iGgFjUg2phDzAhxNL2SDRv7Aq3iEp3kDEzLbtUoxKoLpRoLYogqrMI\nv4KoPT8imB+7Hnv98kaVXyWX6AcZLVm5Lm92xEaVjDAqk7V9FOW54RajQmCgkPTY68mJLKOzPyJh\nJCm2J7GETa+9ni5rHYPesbjR91qLTIVe7GUyLGTHpmV3qzdw7rJ6yJjZ+ftd4jrG7Alk2/rYiwvx\nuMsQzNgTnjLSmMIibWRWLjyhFBsTm+PFDGFRsbsaLVS67R4yRpaTtTYNm5JbG72t1ic2kjSSCMSi\noiJ5q50rzFcxG0635L9VozKHnf30cP3y8pwCazKqfvM3f5NNmzZx22238YlPfIJUzcvxxje+kdtu\nu23JY8Iw5P7772d4eJggCPjgBz/IjTfe2Nj+5JNP8uCDD2JZFrfddht33HHHWbgdzUpEE/XQv7PX\n+Mxav4HE1dfg73uJcOAodq2Hlebs8y/PF/ACxR2/0UnCbn2ZvGpLmvaMyc8OlXmLiF8g6648gzjk\nNpurbosNq5M/GSe3IUPbxszqB54nTngDpESabuv0vGjr7X4MDIaWqY6mufi48cYbV1y0+d73vnce\npTkzRGkcEXrI9o1gJui01tFr9cQV2GqK4lL32m33NPrE1FfTK7MHiYJY0RdGARCoVL4RotRprWup\n4NVmtsfKV50m5WhhJJ0lbEJhzKu5oXdaK+TdVg/ThUFMM4HdHi2p925IbCJlpJkIRrFFct4ToxSi\nMoWyUxhpoyFHPexIhSBnQHRB1injSgeV7iBhpBtluxdWMNuU2MbRys8b51iKQvUkJGKPmF8ZQzgF\nXGe+gESn3YWSEdSMKgMTUZ1XsGVBkCnm6by6i7moSfFWMv7PWF39ylltjRCtlJFuFGeI+2d5DYNn\ne2onA+4RIhViCJN2o51Zb6zFaO+2e0gKxVh5EltYLKxjV4rmaLNaCxpkzbbGNSIVIowESkkMY36S\nNBtWQhgoJRvGbrucv0cZSmaPxosNYYdC2UCidb6pmle1uRy8KSzU3AkwTGT7fL5P3WPpMr+AsabK\nbjKKDcilUDIO72umbojKiE3JbbjSJZHchsBYtYG2gQGCReXUNyW3zfedq/VLNDBiYyMo0WF1MRfO\n0ma20596FYGQJI0kMgroS2xEIckmNtFudTYMiqo/Hcu/xsISl1nbKNoRkQqZieKFE0tY+DJCeCVU\nsg0Ms9HXyRACk/g+kkZ6WeNNOAVUbXyN4igoSVUkiMz1JKwUV2fi1KH91ZeaPLuCXemrOFTz7l+W\nvoLQrYXuCuizNzaMqrSRJdm0qLCwWXCnFbe7mPAXP9umMFln91IIZ1s8+0v16jpd1mRUfelLXyKb\nzdLd3Y3rugwODrJ161YMw+Cf//mflzzmG9/4Bp2dnXz605+mUCiwe/fuhlF1pr0/NKdHPZ/KOotG\nFUD6hhvx972E++wz2qg6Rzi+5Ht7i+QzJm999eLYX8MQvPGKHP/6QoGpw3PYGYv8pjPrNZXMJ7js\ntzex/9HjnPi3Ma5+5/aLwhNZiorMhtNcnrpqyf4va8E2bHrtDYwHI8v2q9FcXPz93//9hRZhTQz/\nfIpS0YVlFn977PVMh8fjf0QBmAkC5eNOH2AjMLLCY9tj9zWMqrq3om5QQazQxH/EhtW21E5yRltL\nxcCMmaXUVF1OBA4K6Kj2UB138PrKiNr6SbvVwbSYNwhEdRqV37imcWhG+orIjTsXdXR30by232Ov\nx5NuwwtV71GUNjKxpygKGp4C0R4rcnakyJl5Sn4ROS2QVoBhJ+iwuuLxUSouba/qw9H6u5UxMyAj\nEiJJRLSkl8eoziBrRlUbyYbMykqRkSYmFs7cMbJdVyKEgYmB5ZVJmjmqURnlAUmYOVQkv6ONvNlB\nMSo0DOp0bhNhKtdancyvxoaQYSEQ85XXlKJLZWODRRgYwqA/uYWqrCJVRFKk2JW+Glc6JESCoDTM\nXC3kTWbXQTKHVIp2sx0zuSVuYmy2UWkqJd9udpI2kvTaGyg6cyRkCpKxt2o6mMKLJOMyNrCWK7Nt\nSJNgSiFSINpUS0PqKJivcCdmLKLAIN+bI9lpx/NTKRSq4RmpkxQpXCUhkhgzx1HpDlQyR4fVhSVs\nUraF8KtYmPgrlJ6fv7hoKN4QG5vzDWFbDQWlIAgVSVE32AQpI03eWrqibsbIUg2LiHLdEJm//42J\nLYw0vJVqvodcFN+vQJAwkrV+U4I2s722uUIyWV8glbV9jZam90pJuqsBU8E4MruuUa1yqXuq31hY\nHYuNUukgvNhbmjLSRJ5D4BQQTmFRWG3ObGNTcisZI4cKly4vj52mL8oxLuZqRh7IyjgVzyKZXU8y\nG0eX7EjtIlQBrnTotLoxhMHVmdcikRjR/CxQMiJ0pjExiYiwhb0mZ1z9mTeWeLdnzdwp5XedCmvS\nSL7//e/z/ve/H4Dp6Wk++MEP8n//7/9d8Zibb76Z++67D4iTf5sTiU+n94fmzIkm4jK9Z9NTBWBt\n24HI5ggOHbgk+htdinz/pSJVT/LvX9++yEtV501X5NiAAl/SsaMNYZy5AdS2MUvnjjYq4w7l0bO3\nmnMm1N3+KzU7XAv9yc2EKlxUhlhzcdLf309/fz89PT3s27ePPXv2sGfPHp5++mkeffTRCy3eIprn\nZ10JFdUZcpFVC1lJ1JLtKwgVP6s2Jp1WHGJnywSF4yW8Ui1hXQbIyOeqxJXsCNrxqkuXXQfAr5IS\nadrMPEKIFqMiXm1u+p2uKT6JuRTr7D42Bzt5VeZ1vCrzOrJGDj+IKDky9mLVFMC+xEY2JDaxI7WL\ntJFp8RB01eRvVrzr9wegvCr9xQhTwdbkZaxPbGRragdKSUpTL+EUjwOwrl7qvSkUypQ1pbKmGGeD\nOKzKjKaQE/ONUoVXJm2s7Fm/InU1fYkNy5dVbnqXieb3WtNYysgjcKcJ/SKVqZfYkNi0wHseHxcU\nIjbV84lCjw2JzXQHJu3mfK5NWtkY5QmMwhCiOIYA1iXjsewITOzyNKXJvURNBRQuT1/JFZlXYQgD\nS1jkzDYSRpLIq/dWAq8YG9D5mpJuYGAKix2pyxvfFcSKplKSpJEiXWzDLNv4JZ+0maXqSWZLISNz\ncR6TIQQohTvnI5uMpXanM45srYDyIdFUQbDZrk0bGfrsDXRWe+KmtoGDMTtIt8xgNq31K9Wa0wO1\nXKXCEJawMGrV9bqtdXQk1i25yLYh0b9IsW7erz5PwioMHisxPO3j+PF8PzrmMVkM8cJWvaYyUaEy\nGX8PGxObUQWJqrokjBS77J10kqHP3ojAIPTLRKHb0hIgbWTIBBk6hn1EcWqBTK3vbVXrMxUFFcrT\n8zlMoV9ithwilULJqHEfQoZxWHztnnMiw87cLranLp8fQ3feU20KsxFWmTPbyKr55yFnzIctWsLG\nEAaJmQzhlETWzB5lJVryqIRfxnIKbA1zjcVKUfP2hf68V9OWNimZoctaR1AKmTk8B6GoeZ5ax9st\nD7HT3s4V6VeRM9sa5zXF8n6hDjPOv9yUiEP9vTkfdy7+LT2bnqmFrMlT9cgjj/DII48A8Yvtscce\n453vfCfvete7lj0mXSsHWy6Xue+++/jIRz7S2HY6vT80Z044HiuPZu/ZNaqEYZDYdSXeC88SjY1i\nbTj1lUzN8oSR4l+enyNhCW58zfLlnHdsSHJVUkIEHTvOXo+pvtd3M3usxMRLMxdFCOCgGzecrveb\nOl02JjbzHE8z4g+xIbF8TLnm4uIP//APcRyHEydOcN1117Fnzx5e97rXnfb5lFL82Z/9GQcPHiSR\nSPCpT32KzZvn85X+8i//khdeeIFsNvZaPPjgg+RyueVO1yAn28nPdbOuuxvbtjlY2Ytwi3hyAEvZ\nZGbyeOE0onuSdnt+/m2wN8YGRcmg4rmURxwSl5uUp15GoXBkBwkKRH6RRLoXv+xjJkzMhMn6RD8K\nhSlM1FSO2bBIfnOOgPmcEktYrSF/yRw5M48Z2SgVETknqc5YZDp30Wa24w93YIQhyV6Bb8Qr2m1m\nnrSRIQoqbHAN5tJdTEexN6zH7qMUFelPbuG4e6R2kflxqYy7RMWIzZ0J2nLzuaGhX0LJkMCdJZnb\nhGFYELoY5fk+U2pBP5+0yFKiBCqg01KIuhLnzJI1yiStLG4yFd/zAgJnAhDkzY5GrppSsM7awHQ0\nCoZJm9FOT6KPqHJ4/sAFC4cydHBLcY7GYg9OvK9hizj0SKwnUIWGPHWlMGVk6CHPEPF1ROiiooCe\nZC9Xpi0C/zgh8dh7lVEy7TuQkUd5eh+pts0k0otz3ZJGiuFCGV9KXtW9g7zVTtgU9ulXJ7Gbijwk\nRBK3eKzlHF45wMpZFO0ehDOG5/lEMwLPDgnaQ8JqSOSEZNfXFXoTS2aYdkqkQkHUViHyIvxKiGG2\nGgtJI4UQBp1WN8XqXjrs9dhelY3t27ECm71Hh/GV4urEGPlsRyMkMGWkSYgkBvOGkmlnSWY3Iifn\nKy/2J7cSqRBLJOi2ehoFDDpDqyVkrP6dedOK9mCWyXSSqhfPs6TKAXFIY3P/uep0CcNIk+1Jkw87\ncacHcKMKfdesI6q45EQbwpifCzKsYhntbLa3YhgWclZQmpjC9CMIBOQVaXPpd6tXGSaR7sartoaz\nHTm2j1mupr87wfpsbKyYwiKs5QP2JzejZEQusYWORAcFnHju+hU2mL0gA6xkO3hz9FudkMwhMBDG\n/NjkSFLP+EuK2DPuzsaGSb7DxhI2bektzPjjCK+mw0cBhmUgQo/1iX4m/XHaav3r6ueOvIjC8fjM\niZyFXw5r5/bI9qaRtXBEw0ohEEShQ1AZJdt5RW3uJNmW2klKLB9+aRt2o2efkorymFO7ns06u5dy\nMBMv2FhnXrStmTV5qoIgaKnwZ9trq5k/OjrKPffcw+7du7nlllsan59u7w/NmRFNjCPa8hiZs68Y\n21fEsd7+wbVVvNKsnWcPl5kphbzl1W3k0suHqRlCsMNQ+ArG19B3Zq20bcyQyFkUBssoeWE9kaEK\nean6Amkj0yg2cbrUE/2HvZOr7Km5mBgYGODhhx/mpptu4v3vfz9f/epXmZhYvcHrcjzxxBP4vs9X\nvvIVPvrRjy4qhLFv3z6+8IUv8PDDD/Pwww+vyaBSSlEaGSVTzCJnDBJGkjztqKiWIyIVhjLpNNeR\nr3SSkk2v4siPSxA3Le2rWt5FsRIxNF5gfDas7SrxSyHuTByKY4sECZHExCIoVpCBIvJaV/rzZgdb\njPmFNUNKtqd2IhDIaBZwkZFP5JcxhEGyWMCuWmSNeKVdRZAkVkSqhSNEQQXlzAf0JYwkV2ZeTVtT\ncv5SEQxe2cctxKFvoRdRHisTuvF9lafiRqvbrC10WF0kRLKWB6NQSuKW4mfWrIVBrbN7yaWSGMRh\ncZuSWzFDj6RbZd0yUUr1sEm7yZsyWwkZmoiQEogCel1Jwk+gZLMxp1o8ML6zfBW+hBEbqoE7g1sa\nwj6RwZpNUje2Oq0uOq1uNiW3zOfY1OhzIYp8bMMmiuZDBOvFGQI3HvP6WDSkq411t9UDoY2tEtgy\nU5McIj+KIw+mhlu8QrZhN+ZZYzxKIUOzdv22MWvGhhEZDduy+auVvsQL431cP94wMzBAZaLYUGqb\nkb7EDH3WW+sb4XAiMEgdz5OcaCM5ZSCKCbLh/CJhykjTbnViNOX2mVYaw0y2eKAMjMZ32+xJrYfV\nyVASerV8KcyGJ02gsFWanuhyOqMtpOVS8bhN80GBUEHsKfJDSsMVqhMLmyErZk48j3PgAMZ0Amdq\n/rs2at+BydLvbCUjQr/Ukrvmh5KKG2F7B5gceRG3HBv1vfZ61sssAoNUal3NaK8biCnwKnS4IXYQ\n37dlx79lpldpzAW3qf5fODfQ8GTXG3/XEcR5kN12T4sbssdeHxu8wsTApC+xsVGtsz5ZAnf+N6lu\nUAHISFGohBw8MkWpFGDZOVQtNLc5zFmpiJyRq83ZkMCdRq5QMdArNc1rpWgz8xiFYYziGMItIiqn\nUUlzGdZkVL3tbW/jnnvu4ctf/jL/8A//wPve976WohNLMTU1xb333svHPvYxdu/e3bKtufeH7/tn\nvNKoWR0V+MjZGcyelcsBny6JXXGFquDgMn0YNKeFUopvPzeHAH7rV1YuPOEWPJJBxEll8MLAyl3M\nTwUhBO3b2ojciPL4hQ0BPFB9iaos87rsGxYlqJ4qvfZ6LGE1xblrLgW6u7sRQrB9+3YOHjxIX18f\nvr+GXIpleO6553jzm98MwGtf+1pefnm+75BSisHBQT7xiU9w55138rWvfW1N55TRLJXCcQZHBxka\njxWs7GiWzrleDOLQKakUs6WIcsEgClsVBgBvLmj6LFZsQqkQysXx438rqUBYKAXmMq0BlJpX2GyR\niMMBK1NsTm4jb3bQJ+IQtCgqEIZjDSU5cKcpLuiRtNHawvqRrZRHnBa56oq+QCBl0AhR609ujdse\nLLEW4xcDymNVlFL4pYCgEjZWweN7i0iKJG1mO32JjaSMNIE7Q2lyvldXGCkcP8ILJH65HFeWw2zx\nGAXuTMt1ixMvUJx4oeWzLruHKFL4QSxoVBsE3y0yN1imMu7SYcZ5NCL0lsktjb9TAFXTqQWCMByj\nNH4M35msGa0NPRVTmGxKbiVtZMhbnbUxhR5jA0ls5iYO1PZvqgbX8CS0DmpQDYkCiVsarJ3bIqf6\naFPrMRpeE4VfDlFS4ZcjOqxO1if6G6FhSkYYVgrT7Ma0+igHuyipbVQ9gQgF5lxd8O4WayrTcRmG\n2b1YLKUIvHHCFUKsI38+SkmGkrmaByOjusiqThI1D0kmWsdsUWCrWrPa0GtqWi0wTBszvZNQbUGY\nGdL5LVjJdrJdV2Ev8OS55SGmDg1RGCjNy6xiA6c3upxuuQOLFKYsklCCkrOwxHx8k26h1RAOKj6x\n4b9gb6Xw5nyUAq9Qm+O1SdAu2+mz+1kY9meYCexaLlW1cKRl21wllkeooKVaoyVsEiI2NkWtEIpS\nccXFuWMVNs7GxS0aLBEuGcpmg89EeCWSZVCBwi8HjXPKsG44ikYxj6ovGRkXhJFsmbNNIxH/b7T0\n4mx5ch/jwy/jTFQYP1khqCz2IsnIpzT5cyozsa7pVUZwiicaCzGL9g8llTGn8buqVGygZWpG4sYw\nwyYWl7w/XdYU/vexj32M73znO+zZswfLsrj77rt529vetuIxDz30EMVikQcffJDPfOYzCCF45zvf\nedq9PzRnRjQ5CUph9fadk/MbbXnM3j7CkydQUra4vjWnz6Fhl4Fxj2svy9LXsbIRURiMX0Yjhsno\nkQrvfkv3WSss0bEtx+TLsxQGSrRtOP8hgDPhNAerr/DD4r8Cgmtzbzrjc5rCZL3dz7B/kkAG2MaZ\nGWma88Pll1/OX/zFX3DnnXfyJ3/yJ0xMTBAEp94fqM7CcHTLspBSYhgG1WqVu+66i/e+972EYcjd\nd9/NNddcw65dy/c1USpEyiJhBEKUmasZCr4zGBsdYax0hVGcBB+g8L0qlmngl30Es7T1thH5tVyK\naI7KbLySKiUgFY0UJUVcHU8kcSfyWO0Tjd9eVVuhln5EZ64bX3l0WuuavEaioWBVvYhCaYKkraAS\nkswnCP0S5fF5Y2+iEBC5EXYo6Rdhi7GSVhbZwKcztwOncIQodGnreS1dVjehF1GZXm4xRjJzuIiM\nqqhawQYZSgzLwCkeRwZJyqNV0t1JzITZ8M7UGZkJwTMR+HTkLKxK2NJGoloOiCohQbFAW18WIymQ\nkcQwm3JAhCB0bSaLNSWwOVRQ1gcZrGjeO1X3JCqlMK0UyVw/Bw7vwwskOzcksUtpPFxsYSGbQu6i\nKC5gEFQCMOLjhRAoqQjmIlQECSdF6Eui7ogodJEs9nrIyMOrjFFX4KNAMneihJWyMDKLS3zXv3MZ\nefOeS+XhFY/TldmAaWYI/WJsJEc+lr2tdqQDQtAtr8aXY5hGPfk/BU39taxEHmShdq0lrrtCUQAZ\nScqjVYQlsJNxpUlZK62eVPNjPle0Scs+SlMRVj7EyjSFsdaeh2BSIF0L1duPlezCSnYhhCCd2Yyc\nPoJp1Z7F6iRhUCWRjBeD00aGMkUsEihpoGrzQygPlEkUKRzHhmQ8/vXrVsZbv5vqpDdvMRMbRjLy\nF4WtxmepLUhIEzM0YUG712zXVS1eSBlK/EpQ+xuohmAZkFha1xJG/YSKwItAQehJmt9yC0vSA6RF\nmulqRD7KEAaK7nYbOVdleuoYlhXrj2FwArcc1U/C1vbXMzr5Im61AyFSDIxXuXzjUqF58bh5Togf\nShJWU4ikdFHKQ5ZcRDzQjJ6ssn6zREaSwAmR6yTl6Vfi/WshgnK5ghnEYYblcQcpKwT+QO24awGP\nbmsdeToYmYpYlz97+uqa+1RddtllrFs3/4O8Z88e3vCGNyy7/wMPPMADDzyw7PZT7f2hOTOiyVqR\ninNkVAFYm7fiTfyMaHIcq+/0+gdpWvnOc/EL+bevW72J71zNqGrbkmXvMZfhaZ9N685Cg0CIKwkK\nKI+cPQ/YWnmlupevT3+FQPkYGPyHrne2VD46E/oTWxjyBxkLhs+48IXm/PBnf/ZnvPDCC+zcuZP/\n/J//Mz/96U/567/+69M+Xy6Xo1KZV/rqBhXEucF33XUXyWSSZDLJm970Jg4cOLCiUVUu7yeMmlZx\ngcrEvALqFurJ/fPaZxiBoSQzkx7p4gmy6/oJ/BEEHYTBSWSUwjDianCiWFvp7q8rLapxndCNsDOx\n7DKaBbsfd84n3Z1iQ2IT1dlZxkeeJ9FmE/kyVurTFq8MVLGdiFQQ0tVmo6QkcmuKYK0oQSQVohpQ\nVSGhtPGqYwShZKoU0pOXrDNNEk6Kaqkci1NrsloerRJ5i5XKWHQVh+/487k8oReRsAx8p4A3Exu7\n7owk3Q2G3RoiFbIRoVwsMU4YqmZ9Fj+UDI+5WJGk35aURqr43iGU8km2J4i8iESbTTq/gdkTx7AC\nEyOdJLI2EMyVsZMp5giYmRgil4zoFMnYqFWxByqZ24xbOkEytwkvFHi1gg2hL2kz8+TMNgRxnpdS\nsVKsahXZ6iFPfsUjmUvhzvmcPDaKZfWSNAATgkoI68Atn8Sw0oRuBcMyQBEXLFCK44eKhBI2dA+i\noli04tQAACAASURBVBGiqI/0wjUvFeIXJnCidUTSIZKKshORzdmEXhHTTGNY6YaRLJYo9W7UvR8i\nzv9SQRdBON/rR4YSZzpWbpsjxOe/j6UX96SsUJn0qHoRSWVAFJFI1qYOLrYYQCkbd9YnkgJCietH\nuErRnl+HX5mlbIaU/ZD1OZA1T6OaNnhmtIBKW7xuexZZVLQ7l6P+f/beNMiSq7z7/J2Te979Vt3a\nq/dFEosAAQYDtmUNHniRhWWQQ+Yd5HAwbxB8ISbwRGA7wjCaCFsOhz8QM2MPXsaBsR1m/NoBjI3B\nGF4Z2xiwLZAAIQlJ3a3uru6uruXWXfPeXM6ZD5l3q6rurpa6hXhd/whQ9V0yT55zMu/zf5b/E51H\nz42cvmlqWZoO1kQRa4tIJyxVQs5vWoBB3nKJekfx8otYbp+wuzlSZdwV6XtuYRkhTYLGadqXdhOV\nSSfnUj1EdxJuvW2RJGqhtU6bVK/1Ec7I2O+ujQicChJEmECYQBfiqoXpmiitUUpjGnK0jjqNYqar\nYKCVHolYiVS0JnX0aNDgmCVkMEXYEIiygHaqQ5nEa0NSpVSL7prALFis9yNma/Mo/SOYpkEkBB5r\nQGq7JFGCYUlADPnDMxf7xK2QI3PukKiTCV+ofgIinZtECYTh0l1NI4r9Zp+4H2NYkqAe0l3/GrnZ\nNM047sWsP3WB8sFZTDd9TgT1PnGQoNRYudHm4+l9BDQDTT9SrGyEvOIqK3o92BOpevDBB3n44Ycn\nineFEHzyk5+8QcPYx83GUPmvdhNJ1YGD9B/5V+Kzz+2TqhuAS/WQbz7b4cisw4mFqxdTaqVprXRx\nyjavuKXIP5/q8e/PdG4YqTJsA2/KoXM5QCV6R9HxzUJf9fnrjf+KQPCOyrs46p2kat641guLzjK0\nYaV/dp9U/ZDggx/8IPfccw9hGHLXXXdx1113vaDjveY1r+Hhhx/mbW97G48++ugEYTp9+jQf+tCH\n+MxnPkMcxzzyyCP87M/+7FWPtxopjBBKORO7rzCljZVIXG/MR2waiFBhZ05WxzSJlCJMBDqEeL2O\naTSBJoZnoVoJhmPgew49OyVV+byLZW7iegaG4eD5Lnb+BFhpqlW8FeF5MfmpPPmCZOU7TxGGdWzL\nhJ7GyCSi+z3IdzbANrBMk0JxjqC+TpJoXM/C72niRCOEh7YTDGHiejZ5X7DZliQYdCLJQs6ms74C\nmWFbrfgYlk3jme9imQZ9aeDYIyVC17PwfJMoXB020AUgAkcaNDZCbMckEga+P0vYWaW05COkIIkU\nYSfGpYRwFVKbOK5JHMP5zRiEYK5i49gmhAn5vIU0bNotDVgQakwhsVSOpcMnefI7BlNaI00HnfMR\n/TIoTavewzIj+olAY7PVSa/tthmfuQOHgEMAnDm9jpOAzFn4hXlUN2artcKUu4rhFEgSCxuJGuwB\nrelHGt9OiC0HQUKsGogYOsChhWOEWVqypTS9ho2KmuRqNjIRxKHGMCXSMLANgZBtHNsCNikWUyKq\nFHhegmqH6MY5lIawfxmkQYKm2YdpxyZohITr3yM/I7A9G4Nl7KKD1hrPSzDybhrt6c1gaUXO8lhv\neySNhJmyhZQuZg9c18SQFn5oEfVTo1a1E1zPQgiLXH7yNyxJOgTd8wSBohcLEqBWjsnlbXqhxncu\nIjBxXRPbkjgbUUrCRXovuUwjRYlnz51HVGd5+XSebmWOtZ5kyp7i2fMxRsUm0CZTDsjSLOcurNLt\naOYX3fT+8G3cgodlz9G4kBCQ4Fp1FosC25oC8pREh6eeLJGLitRmBM2NLknzIn6ujMyiQSJLRXc9\nB6U0Yd8iXtfM3VKgqV02t1rD+z9fSOchCi36fQu7kxKIYnUJ2wjoti7SXguwTInqQrHippHtrVE0\nPlSCSIlhtJRAUZxxOX0xIAg1Jw/kqEzlaWqXXNknbmsKRZdOu55+dj5H3FfkHZ/WVszleohSMFu1\nyM1aFLwiqhvgehbSEKgsXS+XtxFCDq93fSMmqpisNCExCwykESymKBb7NOt9Vp4LmF3wqc15IBS1\nWgHbaWHF4OecoZpxHPfpBRZ2BAqJwCRUBosHbuNM/V8wpI/oJBBokiDBNtI9lnMF0kjn2PPAURLd\nSQgaPVTvPJ5fRSUuYZjNf87BdLL9KU2Cq0S6ng/2RKq++tWv8oUvfGHY9HcfP3wYkqqbGqk6BEB8\n9jl43QtPz/qPji880kADb39t+ZppfJ3LASpSFJdyHD/sY0h45JkOP/OG3ftpPB/k53yC9T7BRo/c\nzNWbHt4ofKvzr/R0wE+U/kdeV/jRG378hUxudWW/ruqHBu9+97v53Oc+x2/8xm/wlre8hXvuuYfX\nv/71z/t4b33rW/nqV7/K/fffD8BDDz3EJz7xCQ4ePMidd97JPffcw3333YdlWdx7770cPXr0msfs\ndCOCXkyiTCId0qh3d6QoXtqKhmlE6+ebRLEmDBPCEB773gbT+T7OWPuEXhDRiD3CMPXoPndqC1fX\nM89zRBz3UFsdonAT0zWIewm94EnafZP42WSHyEycaIKoTJxs0OsbSBGiEk27Y3JxPY1Iz5YtwjAm\nTjQJGiOMCXVIq2UQJU3afU0QKlRXY7UC1Jj09NrlJp3LfTqdBp1+QlMJxGbCXNnC9Sx6QUQUrZHE\nO4vEg5WQ1XpEopsYImBuykJi09gKkGYa/ZIyT9CLkMQYeYEXRazVPUS+D5bkdBBCL0LEim4codp9\nwv7kGoRhzNpai6CnsUWM7gli+phRCLFChKO6kLOXOgjDRemYVr2P4Y1qgS6d6tBvgdIOTzzrEzdX\nMUWIRFEoRsRBRC9IoyIAnV5CK0i4sHmasJbARg87TsDUiFgRBC7IRaDB+koHKVySJEJtaqJOiNY9\nNJowjNGYtDqKnJ2JmTTSqKjpzxMEdUSrT+AbGKKBSiKCfp4w3IQw5olntxDNy2nvprqJIwXSLLHV\ncdnqZJLZzQCkwAjnMcKLtJKIoBeRiJCeA7ZzhLWVFlrnCfsXQGniJK1t6wWZEITQKDWZKpckTeIo\not6KCGNNGELBEfSCb9IJZwhdhWjGBAEkiUO7d4Q0Rtgijl221hRgoIwjdDoxq6tNglZMniq9SBEE\nIXpNU3c0ZpzQ2urR7oa0VIJfkPSCiCTpcSFo0g4NjLBMGK6iO3XaLY+C3cSwcrTWevR6PnKjS6Pl\n02oE9IKIOFrHyPpV9XuZZHjcQyVbaV1hElGvK8LQoxdsjl33JlL6JHGPbq8/vJ//+cubHD14iZ6I\nkY0+lhOgVZ8eXXSih3MJ0OsnhGGCFAKlNUEgaLX6bDbSOa5v9TizUae1UefEwSJ2aLO5sUGz3cZz\nJSJnEG4epHGpSxxX6QZpmmGnA8H6Whrh6S8TRqD7F4fPjjB8FnTa3kFrTbsREcVtVGFSzEOoPltG\nwHOnWoRhldPnq7i59VRF0dyg0+kjgphmEwzW0MRImSeOIvq9mDAGQUykY5670KEXxAjRJ4zaROHk\nPdxqBQiZrme/d44wgaB5euwT6xjmDEmcfa8RYLop9Wm0E4Lg+dfj7oY9karl5eX9/kM/5IjXVsG0\nkOUbV5C3Heb8Apgm0bnnbto5/qOg2Y35p8db1Eomrz1+7Sa+zXNp+lJxKYfvGLzsgM+3z3S5WA+Z\nr9jX+PbekJ/zWPtunfbF7otGqh5pfx1TmLwuf+MJFUDVnMIVHivhvgLgDwvuvPNO7rzzTvr9Pg8/\n/DC/+Zu/Sb1e5+GHH35exxNC8OCDD068dvjwSK7/fe97H+973/v2fsAsiquURhBhcJkw68/SjzWO\nJVI1sgnZND1MkEp0GY1Om45uK/NT4agovb7eY64yqW4msq69YRAjsoalWrOramezm9COithiDdBo\nV4KWBP3RZyeSFIen1iQqIWzHyMxbHDZCOjkDb6yeSSuV1g4BSaLBM9FRQhAmw744SbzGrhg27U29\nyEEEOWeefvMCfs3BsmcRwgMyL7NIU8YUPmYnTfXRlg2Zh92bcamfukCnn+A7qXJdq5uQ9/vD1Khs\n8qEdIYKd3mvRjvBJ53dT9TGNABUqCks+KtJE+gi0wLJjBuluUazRSQBITGuJUJ9jfT0cCloItQad\nOUSUIESCHuunZLlFdLJFo9NC0kqVXwXoTAVjsH2U9GBMOW6gslc+PE1itDBZQQPdXosoThDGHJCl\n+g1SSbWm3oiYq9hc3Izpx9vmRAp0ku4lkQlHxHoew9DDqIUQNqY5TxCcwRY5UAso3Up7Wu2KbO9s\n6wHllCz6SR1aAp23qLcjPP9WBulhmgKGMfr90e0QCgbJmJbE8NbqxFxuRFRzknPrCZZwIAq5/FyH\nnC0BTWOlSyxzuEZqDi9P2YBIFeN0L1N+FHT6CdL0sb1DdHkSpbsYVNFo6u0Y1xIUzBClWinhjQ2E\nNPCKh6iLS6CTLD2vjRAuWm7S6CZEehmNDwgurDRIEk3ONajXe/h2gel4Z+qgpkaiY7QsIvQpEpUS\n9XGsNWOsdsT66Sat2KffeQpI0zOn5C1EIl17IUvAuey46f+JXoLGRqmYJFEIUnXh8frAQWanbAeo\nbR1cNJJ2LyGJFBoDx3VRiU+/tYlXGjmTtO6RZA2lywfLbJ4ajCITlUBwdjWkhk4dCWP9pbr9hHZP\nUfZNDDMV2NdaEXbb7BnixvOaPZGqUqnEO97xDl796ldPSKtvl57dx0sTWimSy5cxarWbKiAhTBNz\nYYn4/Fl0FCH2KL2/j534u282iBLN2+8oj+UcXxnNlRGpAnjjLXm+fabL155o87M/emOiVfmsF0l7\nNeDmxTtHaMYN1qJLHHNv2SHneqMghWTRWebZ3vfpJO2bdp593Fg888wzfO5zn+MLX/gC8/PzPPDA\nAz/oIY0gBNoQiMygN8QGq1vgOAb9fgIC5sqTjg4FjG7zKz+jtZp8FiRKZ8+HzIhPUodMt68wDEEl\nZ2JcwSEaxmp4LinaIAQqNFnrJVjjQhhArGeQcT816k3Bxc2AmYJCdWLw0+d8o5MQJ1DI2j5snWkP\niaIYFKR7Jo12RBBFhGFMKSNiqbEJ5oCQDmcijZgFfVhraBxrkb7wme31EWLwKQ2GzFQ8xhrzhkUg\nxhBbtHoJ9VZIv5/QCZfwzfMEoSJMWnAqjTglehqju47WFiG3ImhhifPDtVS6iBA9BCFxIoYqbnFv\nMgro25IwTMfR7SVUKyYD8lePGRKqAUQrQA67AWl0Fn3QGvphQjczlj1HDtOwYIw4lGysvANtMIxp\nkmQdKYu0VtpD0Q2tYKvbBQSud+X9pbTeQXLEeoCe9dG9HMqcQRjlbI3KmNakc23QI8nSLjEmW8Ec\nVX8VISYdg0m8iXAuwy76MkIKegO1vWzfNDqTSnIKnapoDtCOJoq5hvoVWqPrPZ66mIm+6GnMZIV2\nNyFny5FYRKJRGfkTmSR8fytCCIkcS9DaPN9FtTOBhGQLbc6z2bhAP1L0I3Dti7SChG5fEWpFeDFg\nccrG9ATdpmKzFZN3L1LwG3hTkrhtQlsyuA+TbH2jbA26YSpCo/U2ki8KJJgkCdgCNtsxYkywIt1j\nAhEpmp1VEmN64r1gIxz799g8asYCKAZbHZNu4CJFi6miRSErJ+jVw2G9nGLyN9OUghiH3tboHK5n\n0FtXJEnM+e9tInpWuoo6JWxpjZceDAEx8uDQvdyl7yscSw4dCpA6hQA2V7rogs28mY5mIIpi5yqE\nnVS0pRNqthqpmM14vp1WpE6DaLu64/PHnkjVW97ylqHk7D5++KA2NyAKMeduflNec/kA8dkzxBdX\nsA4cuunn++8RnV7C3z/aoOQb/NjLrt3EVyWa9sUAt+Jg+ektfcexHLYp+JcnWtz7xsoNUQF0KzbS\nkhMFszcTp/upjOxh99hNPc+SfYhne99nJTw7bBa4j5cufvqnfxrDMLjnnnv44z/+45emcqwYGQkD\n9MhM/gnDJUWrmwzJiCHSKILGQMhUGU6j2WhXiKL1iZL/XqjIucawEPtSPUJnRmGSaNabEV4voZQb\n/dRLmcM0Fwh1OBhRasTYDklioBOPRFfR2MBGZqAao+upWIhWm612jGPLiZY9nV5CGCumCgOjKUZI\nQexbECkwJXrMSdToJBhSspn1kcm7BonSO/rxtXspAexHCl3vsdZLRtEeIhBg5Cx0x0VjI4a9dtJz\nnTv3OIlXwhAmUU8QiYEqHayspQZrQo1ETzMiZtkYLAOSGEUBy6igk7MkjPacVnp8Cib+1rm0T1W7\nZyLCgNDQbH8SC+KJbwmtaQUJVddga23kmd/qxEwbHgMvvjSPAU+AAGFL8vM+JLOEjdlU0XCst5YG\ntCXR2qTZTbCv8HMQJyPRk4kxrnYBA8UUkZLDMfRjhTOm4BZGoB0DEoUuuHTrDlV/MIKx88QXyNd8\nDFtCpo4Z6xqhKuKySj+8egRhvRERxuA7qQACkSJophHARifBd8fUHSciOFkrgmzvNLPG0hqRcjIh\niNoxcTclytIY3DcZSa73McZ6QCbJBu1gFG1d3RpniYLVZ1pEqyZFx6UXpfus3UvIe32UdFMnxZjs\nX6iPYYtnEMYyRKDzFqa1SKO9QtBvUy2YWNZBdM8BEszFPHo1rXnyYogjBZZksxFAfxDtAUM/OaQp\nYqxHHWyLcMkCekzVsRloYAabFusxVNzBfIRDDqsZI9ZBzHzJ5FxfE2fHFUQk7YhNrXBMRb19CpMC\nUjTohxU8K72HtE4w8+ZE7RhIRKJZb5WZKTXY6oQoFVMrzwBjzZD7CZjpumiVOmJMz6HfSUn+OgIT\n2GrHVOcKQNYSAg2dCHED+2/uiVTde++9nD9/nmeeeYY3v/nNXLx4cUK0Yh8vbcQXUpUeY2Hppp/L\nXEz3Rbxyfp9UPU988VsNeqHmnT9SGhZxXg3dtUE91Uj2ybUldxzL8bUn2zxxrsdtB154up4QAn/a\noX0pGMoe30yc7j0NwJGsh8rNwpJzEIBz/ef2SdUPAX77t3+bkydP/qCHcXWYYpCtNMKYrVofa3ip\ncRH0COI5YIV8waLditCA6RmpCpxcphs62GKyyfH2IJRSmkifwGATQ6RpNUGoKPp66FiRsoCQDqmB\nmRmZQmAYgiSXh74kyWLRWg/qnQRSpCmMdvQMIkwNxH6ohn8PEOo0WjZla5JkHcOTjDvatxswYTQy\n/lsK4v4yrrOBLklIFKIdTUyeCOJJ4lJygPbQzx3rOQyxTiJKCB1ieG3QCin7IFPjuRtWkebGLtk/\nYw2XsdGmHL6kEZTzJVa3TmDrURZG63yXrfH11JPEpN9PaAYSrfvI8k7CYokzxLqWnj1SKJ1H6zTK\ntbk5mrhutIyWLiRnAOj0U0Ih0MTJYEZShchE6UxxMIc20rQ9chbKnEFLH71lpOpx4/OIy3pLTBj5\nwLBuB9JUvTAefa8XjkiVU7Z5JjAwvcysNAyMYSpsE601+TmfTtbrsN1LaHVVOscxKKa5tAXFWTns\nEwYQV+dhW9ndoE9T0E/wPBsRKb7/RJNSzmSzFWF3d2eNgsm92gnSPS3pESc2g5/bQeRRJXWkNhis\n58pGCCQcOWyjOtFEBEm7xjYClyKKNWZ+GVOOUuc2Ech6lB123Ay3CPWthD3QBRvyFoX5As9+M8EW\nTxNGGsfxEJZEz9gIOYqI626MCCN0wabTiqCTRsWjWDOWYIYmR6eXpKmHiSLvju15LUh6SbomUfpc\nENpGI8GSKKU5vx5iBgm2OTbHrRAMgWiESAvEWp8mNUxxCUWZfqQJIw9LxGlkSqRzsdXdwitZ2ZzH\nXGgrlG9CpLL9mUVaEcRK0+1HSKFoBtsEuCailJpEQaxtVrdiCp5EeCHatxDdiLg9Dfaz2HmLejtB\nKI3i2iUWe8WerKK//du/5QMf+AC//uu/TqPR4P777+ezn/3sDRvEPm4u4gsrAJgLizf9XENSdX6/\n8P/5oB0kfOGRBgVPctft15ZRB2itpJ6ZwsLkg+F/eFX6/b/75tYNG58/7YKG7saNVczZDWd6z+JJ\nn1nr5kZYl5xUrOJ8f78W8IcBL3lCBWl0I4MeKGVKic76r4SxRuETyUUifYhQ30o3TN8zHAMtRJrV\nlll5SonUyBpDpA8TD40JA7toEc746ILL9njIaiPtCyPNTPEvGiXYDf6j7EVie9LxttYUJFKgt/tf\nB/U8uxkjpqTbT6uxwliz3kwIkjxK7kyt1aYkloLQOkrkHyJx59B4hFFmcA4dN8aO7w4xFNQb0Koc\nsT6Ini6h5mepLR3MPjD01acXoMEyr3JcDMhbE2TYMtNUrXaQ1YYNrmNMDbUf6Yn5j2yJtk3UVH5X\nZXHfkZgi61+lDxCzTJxo6lsRSqTPvshYQpPj8lbCVicm0ZrNlkLnLITqsNmKUFrT14JnL/Y4fanH\nZiuGukYkaf0JQGLOpnmmroG2x69dpPtJH2KwJ3SW9VDOG8O6KO3uPl8azUakYTzlXwiUHu0bw2/g\nZmmvUay5uBnS7iXEhQNE+ujwnGutMYIqLBJ7b3ZLovQw4rk9hXH8OsfHnGT3jxARGrm7doBKo8Yj\nSHoa1pH09XiUZ2ROj0djFSCEgTRHafj9LONMZUq27m69prKI80asAZNETxNEFYSw6MYKDEklb6SE\nB+j0s/rKVgixBmwSvdOGaAaKC5thGlWONNGYU0Mpi6SfDFMgyYhTJJaRUvDspR79WNHtJRPOENGO\nEI1wYhoUFfrWy1GlQhphxkXp0TNAWylRA5C2pBel+xpLgm+isghYuvckcayRIk3Vrbcn80ZFrOgn\nNZp9xepWxHoz4vxmHrSm1U2QSUqeQ32SlU3NpQs9nj7bJZZTKF0g1pPRuxeCPZGqP/iDP+DP//zP\nyeVyTE1N8elPf5rf//3f39MJHnvsMd773vfueP0Tn/gEd999Nw888AAPPPAAZ86cua6B72PvGESq\nXgxSZczOgWkSr5y/9of3sQOff2SLIFTc/brK7g/aXTCopyosTjYoOb7gcnTO4dFTXS5u3hiFG7+W\nPui6a1dq5nlj0EnabCWbLNoHkLs0KLyR8KTPtDnDSniWRN+43Op9/HBAa81HP/pR7r//fh544AHO\nnZsULfmLv/gL3vWud3H//ffzD//wD3s4oqTgGkMDwirZaRqY4xNZB9BCoHMWSXUaJcqMDL1BJElA\n0caYO4npmQhTpEpseYtETw0/qmar9EJFP1IUFkvk57JodN6Gqpues+gMLpLNVkzHNAhCg7Nr/R0G\nvrCqaT1Y1UVXHHTFIbSPEBcPo8mBnE8jD4KhQT64RsXYsyczlHphwuVGSBBrYvsgsZ2Kf2jfIhEH\n0b4FeYvANtBTFVRxmsSaBQTN3uB4glDfsnPNfBPtmeiKgzJSHed+rDPxigwZ0Rn05EnrNEaERyiN\nuQvJGSA/56NkcWJ9xnoGc349pN6Oyc26GHO5IbHqhaPaLkNAJAQiJ1FWunbaECS6jLLd4XF12cnm\nNEsz66frqkWFUB+nODWDNiWBMumFmtUta3iNQgiE6vLsxR7PrI6cXYOakwGR12JEyrXpg2+i8xba\nNdEleydhyq4n7xocnXfxHAlFB10dVaUMOEizm3ChnWwj85JYpbV7Vt7ELqRp43bRGu4RAGUX0WOS\n+ltxSuwLnsF0Ldszucn6bF120jTD64TGGNbtjWckpvfVFQhjVEKKcYeGYK2Z9jda30xrdnTWhFcP\n0uzHNkpbpWmSZLU+A8Ll24LEKlO7pUTl4C5p/vn0ms+uheiyQyJqCCONIFvZMQ7NOMTmMoocCVUi\nnToQVH9wvN3q2kdEV+ctmC8S5Q4Q6UNstJLJTE0h0r51ODtqAQGUlR+mLQ8wIUwiAN9CD22Z8fcE\nuCZNDV7FIdwWOS1X0n2Wc1NBkc4uaZzDf+kSqw2XTpilPusSgRYoXUxbRRgiYzuSoJ/QjaZBQWJU\niVliR+flF4A9pf9JKcnnRwxzZmZm2BzxavjDP/xDPvvZz5LL7fRmPf744/zWb/0Wt922n25zs5Fc\nWEGWysj8tetzXiiEYWDOLxBfWEHHEcLcF6vYKxqdmC9+q0EpZ/CTtxf39B2tNO0LXdyyjZ3fOdfv\neF2Z/+OvV/l//2mD/+Wd1987LOpt0Fp7jKi/RXHmDvxaWktws+uqLmRqfIuZ5PnNxgHnMN/sfIPL\n0UXm7ZufJruPlw6+9KUvEYYhn/rUp3jsscd46KGH+N3f/V0A1tfX+ZM/+RM+/elP0+v1+Pmf/3ne\n9KY3YV1VhEeB4RMzg80TzFYdzq/3Scwp9FSJODmM0BHKqILa6ewQgDIrNJM8M2j8KYdApT/689PL\niKSJNe1xNpAkukw/bmGYFr1ozOgxRl5gnbegE0POZCtIKKo8EKGrLmKjl6aexRAOvj9urLp5FOBa\nAYtVH7OYpxNpLpOSUR06GekRmOK5VFhCCrQQXKyHyIGIRIbQuQ0cgeN7xPVdHG+WTA1m4QBdfNei\nkRliuuwgtgZqfwJK6Zxo8oTOLYQBWDIilXzWIATL0zYyMbJ5TbBMQTQeRbpCT+Ijcy5hzaW1fhC7\nN4r029uIx3ozgm56EJtx3YX0HIlOa1aUOZWOWUgo2GjhEccHEf0Ovszkn30T3U9Nsp4AEWnS1kYm\nTsUZhgD6yasQWTNpw6uxUGhybn3Y8AztC0R3PL00lXQYJ1WRdQip2picG1mBFTe1p1shlm1gS/Al\nY7L+IiVahpESq240tL+HMzrhABMw67ERSMpjpKgw79NNHMjGfGCmwNm1+mCwKUmOYLpo0jHTvYpn\nQidK58iQ4Brpaxc77AbtmYhgNAflvEk9SEicGYx4nThJ2/fqvIVoR2gEGm+iPmwAw6yR9/SQpKYn\nyI5tiDQqNGDnBSuNdoVjG8s2CCOFEBW03U/HDmz1c2jLo1ay2arv4vQcH4uXOhFEJt0+4DdSCty5\nGYJzfjZ9FqE+yoBM6fG4ybDMM3su1DwwBM1eAlYVQR9FvCOlOFEaoQwi+zhCh5jR2XQsjiTu+L9V\ndwAAIABJREFUzeE5klYmLLI07WAYgtmyxVojJhnUYBVsdDdGOx40Rq0IENBB0I81iR6tV9E3mK/l\nKed8mu2ITubDHa2rJtFlDLGFxiDeIZ1lgCGIa/OUjXP0BvWcMx70E1RjisSYB2WwNG3cUBXAPbmA\njx8/zp/+6Z8SxzFPPPEEv/Zrv8Ytt+z0Hm3HwYMH+Z3f+Z1d33v88cf5vd/7Pd7znvfsOeq1j+uH\nardQjS2MFyFKNYC5eACShOTSxRftnP894K//dYt+pHnnj1Qm+tNcDZ21HkmoKCztnhN8x7EcJxdd\nvvlsl2+f6V7XeDbP/wOn/+0h1s/8LY2L/8K5x/5P6qufBCOiu35zSdWgb9Si8+LUbh5wUo/oc/3T\n1/jkPn7QWFlZ4Rd/8Rf5qZ/6KS5fvswDDzzA+fPPPzL+yCOPDIWYbr/9dr773e8O3/v2t7/NHXfc\ngWma5PN5Dh06xFNPPXXNY4qx6MbgLyXTVBxlVNM0LGGCZ2JbaaQC0lQeQ2hic44wVjxzocf5jQgt\nUyW/+ZNFcjUX15a8/KBPXFvCmJ7GyS8OlcNSjP1typSAmBLTkKwP6n8GqYVMo5hmHP62KHmvaFNY\nzGHaBqWcmZWCZCIBiDSNTy9m9TgCWbahECKccBgAmK/YIAwQcqQGCEOFuiE8c0jExo3c44fHnnE7\n1B4ssI2sSTHMlC3KOZPFKZtKMU/RN1ioWriWAZgkVFHk6OidTpty3qS06DNfzUhIliJmmRoVKXQx\nI3MyXbe1ZpyqMBppXZreRa11mD42WBaZpjhp38Mq7+IlH7vugy+vYI6H1AwjjS7lLeami7i2JJcZ\n6q5jYE95wzGmw0/nzffGHHXCRBllQudWErNGbI3NQ8HmwMEcJw/6VMYETrqVsToWx4CKO1qHXdI0\nb112UiIpBWcu92lm5DMOWxPL51giXXMYEg7bm8X1ihQGr1uS5VdWmD1UyFIy0yPc8aM1qoXJ/aN9\nc0i4h3N4rAA1L533TImw3UtT6NLBpMdzhv2WJtP9rthRyLfSiOuAPEiRHtM10UWbwnIe8haxgtVm\nAXwTpCB0biO2D4IwMA0wrqQcsh3Z3ko1NbK/d3zVhrHnj87WRhuT93SlZA/nceT4ELTHI0IFi1jp\nNOot3SwqrMExaAkXbeYwszFZhsCzJaZrUJ1yWDqahyyKdfxQDsrOJFFMRsQzihUqa8JbLZjMlC2E\ngOljRQzXTK9nIh1YEs8cwS7fTqRPkK6XQeweIhKzJEylzh2zgHIOjc5pyOE1i2YIjRDTAM+6/qjn\nlbAny+0jH/kIq6urOI7Dr/7qr5LP5/noRz96ze+99a1vxTB2H+w73vEOHnzwQT75yU/yyCOP8JWv\nfOX6Rr6PPWFQ22S+CCIVA5hLg7qq/d4/e0W9HfPwt5tMF01+4hV7i1IBtAZS6ou7kyohBP/5zmmk\ngP/n7y5Petuugsalb7B++m8w7RKzx3+OxZf9z3ilYwSNpyme+DLdjfZN7V230k/3zoL94pKqs/uk\n6iWPj3zkI7zvfe8jl8tRq9W4++67+fCHP/y8j9dutykURlF80zRRmXLa9vd836fVau04xnaIQS8h\nJFJCteilhGI7Cha3v3469UQbJpE+hlt4BQtTo3S6XpTWJ1mmwLANZGYAGFKA6bKlDnDqssg+R3be\n9DPVgjkkLUrmMHLH0tTAqjsyqEgJwvGFcbHhbbANLG8UbdDZayBYnLKpHS4wXfSw3RMk5gxKg2HU\nR8YycGjW2XHYwRxdCVKSpiIWbUrjkfiM6BQ8g5cfzObKlOg5H+FbLJ8sceuyhxACzytw6MAJcq7J\n7MI8jm0CJlHxOLpS3vW8TtHGkBkhztLF4oFAQ85Cz+dg1h9e38sP+ixU7fRKSjYTpBbGIjiZhDdx\nFm1z8LxxUpCtSX/0nJ6t7BIVrbhQsKkW0zUbyK6rgeR+zkJPe9kZp4j0QSx/luMLLgKo5rNzCpPE\nnEMZk7U3hiGwC5P1ZPYuhqdd83ArNu58eq5BNOzYvItjZGMyKiRKc34zvfZe87lUdS2DaYg0kjHj\nDcmJsufwy8cp50dzE8XgWpMMwnIM8t42Ui7FxN52LIlXSQme8EyUPEikl4ZzltYqpp+fXkgzMeRE\naw2JKNvoOR932mXuRHH8LcgcEFpYRHbWGFwAOYvZmXTPR2UHXRtLkR17FviOgTRkKls/fXVBqboW\nrDUjAtsYtmC4eplAFtUTaR1dYqTPMl1xJhQSGdYEbjuWbVA6XIAxkp5GkUELE3yTyozDdMkaOiGk\nJSkdyFOd9bBMyYGaw3TR4ti8SylnkS8OiiBHp1F6lNDn2lbqisrWUGX1XTqLlOqcRVKeAUNyy20l\nchlx04ZA+RVUbQk9WxwS0FYQM6GNM56BmDVQdnZzbDxP7IlU+b7PL/3SL/FXf/VXfPrTn+bDH/7w\nRDrg88Ev/MIvUC6XMU2TH//xH+d73/veCzrePnZHdCqVpbYOH33Rzmkup16v/SbAe8fn/m2LKNHc\n8yOVUc73HjBo+ru9nmoch2Yc3vWmKvVOwsc/vzoszr0Suo1TrD79l0jTZ+kV76c093py1VtYesV/\nIT/9SqR7EW/py/S2bk60SmvNhfA8JaNC3rj5KasAFXOKvCxwtn96v9H5Sxz1ep03v/nNaJ0q2v3c\nz/0c7fZ1NHzchnw+T6czSiNSSg3T2/P5/MSxO50OxeK1nR6GrZhb8CjO+NimQF4hveTovIdhGyxN\n2Wn6ledQmfUp5VJDIbYOomQeJQvMlFNjJFe9lfzUbVhZ9CJWqXT6+fWx3jNG2kZhqmBRyOczz/gR\nlPTTCFWW4jc05Goe7nh0fNsjKDXCR+9bmSre0skSs0cLHFvyqORNFio2lrOzquBqTzShr1zv6TuS\n+QWfW08WEYJRHU1mfE8VTAqeQX6QlicEx28tDltLDMfrVijUXkVx6hCvftMMt79pJo0aXKPVxKuO\n5MbqfzRSCI7MurzsgD+sJVmcsil4Bl7ZTiNGpkRVp0icqbHvZv8VJkXf4Ni8iyEFhhTkHMlM2cI2\nJYdmM2K7LQ0tTnbfP4N6U5kZkLXSGAEbS9vT+AghmC5avO5EnvJYBMp3JPNVe4L0VnIGQggqR4tY\neZPigdyuz0XpGmkj+EGkIxuPEGNGcdYsWCYNLl1e5dTF9oSQxDCwNxZJ6Ue7X+9sJZ2nccwfKkz+\nZo79OVO2uOUVKXF+7bE8r721iLOcZ9ifTab9447MeRxf8CiU5zGtAxjGNE5p0NRYpOROCGaXfIrF\n3Q1woSO09FGykKb2MqovasWAKYmsQxj+yMG9PG2PxizFFW+U2oCIOAb1vA2OMdy6njM5H4OopSEF\ntmdRKFjIqkvizBCXj6MLFjgGWo8+ixTooo2qVon1DJE+Mqxjk1k6384JNkAK3JJDJWcOs2v8qXQf\nubbktcfzLE6l11grWRxeqGIVrLT+cIwMawa1iGD585hOEdvLCO4gIp5dZ5h/JVleLKZtkDhpbSUz\nfjqH2f9y2bNCyQKxMU1knwBgoTpaP88xMKTAq+7u8Hk+2FNN1S233LKjz02tVuMf//Ef93SS7Tdj\nu93m7rvv5vOf/zyu6/L1r3+dd7/73Xsc8j6uB9EzT4OUWIeOvGjnNGbnwbKIz+0rAO4Fjc4oSvXm\n2/ZOIlSsaK108KrOrvVU43jH68o8faHHo6e6/PlXNvif7pze9XNKRaw+/V8BWLztF7H9UT8WIQzm\nT/5nTm22oXSK9dNfZLnyzj2Pd69oJlt0VItbvVfe8GNfCUIIDrhH+F73MerJJtVMlWkfLz24rsul\nS5eGv0n//u//PtGU/nrxmte8hocffpi3ve1tPProo5w4cWL43itf+Uo+9rGPEYYh/X6fU6dOcfz4\n1SX+56sOlXKR2sISGxfWUUlISETR3umFvu1YGSEEpXKOZtiAKswvlGh0Yla2ADzI6gUOLZUy43n0\njCiuTOq2W2O2gRWWKRbBLeSINlMnqO9KDGsU0fIcya0HcigNlikobqa/1dNli/WxfjFzMw4zMyab\n6jyOX8H11tnqxBw/UcN2UodOeDFN3ykmNv1thd9u3qNWK0yM1/PsifcnzhnmEGGL6lSZly2nzyql\nNIXlGKIEkRG3qSmf2rTDT9YK1FsRji3x9yhgcGpNoZUmaU7O4dxinlptNMfnLx+g1z1NJT/F0i1T\n5LNowvKC4vJWyMKUg5SC6ak8utIlGTRW1bcgOt8G4OjRKQrFKTr1JqZqki/PcPRkqji2uXKOUgmW\ngd6Gx0lXEk95XDzbRndjZuaKhEafINkpDlSbcakrl1tcmx5Vjh2Z5quPN4gz0jLo+SNLDpWyT62W\nZjS4uZj17kDIA173sgqr9ZDNbmq4zs6OHAezc+nfkRNw+uKkI61cdpmedjmz2aJYGBAqm2LRJVfK\nMRf4dJstRJiu9WaziWmbtPqj9a9W8yxHJo12zMkDPucu91iqudQy43ywZ6amXGZnPF4ubJ5ZSedi\nsE4njpQ5fT51jMiih8xZxFsR+bzN8tHqhP3ajAwCt4ihTaRrY5mCvONiGC4zs2WSdYVSfaxCjkbY\nIV9wWZjxuXXaxTYlW+2ISxd2f964eQ+4FYCCbzA363OxOf4Jj7xnYGU1SNWqR63mEoo+m12JThRJ\nO33PLKT7zDAEb3h5ia88Nqnia1uCWq1AOzZp1GKEIVCNPkcWPbq9hLlDBYrTNr3ORf796S65/KTC\nXanscMdt3ui42fniIK29NqZ9hGNSqbgcmvPQWvNvTzUJ6oU0dc/MoV2P6VoB3RhFVmdmi1dst9IP\nYjbqLt7M5D3q+xampUmIWVpeopAbPSsNy6GZhBhGG6wKnu8PGw/XagXmT4iJZxXAiWWfct7kX58Y\nTP7h4XtLMw5bF9Jn1VzVplCwmFvYm9LyXrAnUvXkk08O/46iiC996Us8+uijez7JYEP/zd/8DUEQ\ncN999/GhD32I9773vTiOwxvf+EZ+7Md+7DqHvo9rQfUC4pVzmMsHEc6NY+LXgjAMzIUl4nPPocMQ\n8QIMnv8I+PtHm0SJ5j+9tnxdUar2xS4q1hQPXDtqLIXgA2+f5X//1Hm++K0GR+YcfvTWnQRu89x/\nIwrWKC+8Ga90eMf7QhpUF97N6rO/S8A/0d48Qb56657HvBdcCNP6mIUXWTDigHOY73Uf42zvFNX8\nPql6qeKXf/mXef/738/Zs2d55zvfSaPR4GMf+9jzPt5b3/pWvvrVr3L//fcD8NBDD/GJT3yCgwcP\ncuedd/Le976X97znPWit+dCHPnRNAnfk+GvY3Oyxttai3/fod5v0g5hmEDBdtKgWTL6/ElD0DdbX\n0yiYUppmKzUU19ZMwljRbvfwHDlUvdrY2PlzPfjOOHxH4tmSqZxFs9kC0x1+rrktc/H4TI5+N32v\nE6vh547UJPiavCept2PyRsxmPUHbx+klEkyDYi5gqxEjMpnj2EwbfnaDHmEwGX0KdcDamjk8frHg\ncWRxnsefeQ4li8Q64Mi0pDIreeSZDugcRlygn9RYWxsNutXJjPowNaK26hp7LNIV92B36YKdmC1o\nnl4JENlYZ8sWUgqECifO2ehVCGMDGQi6KiJYG5EwB9jYGBl0Kokn1sTupcder/dwzADTmiXqO7R7\nPp1+tvb2cdrr30mPVzRwY4nwNOd8ycFjU6yvt3HQVDxFFGsujCm51rdMWq3UQCxNz7K+3qbma57K\nSIcIQpamHdZsyJnx8LrCSE2Mc23NpNlJx553jYnrH8CXMJPXPDNGrDashF434OLl0Wsymafd2ULZ\nDlVXcemyh90PAYkyImSSjl8ZZZTwWd9os1AwqLoCMwk5PCVBhaytpZ/zjJjVrYikBGtrMWdWApqZ\n7PramkmtVkCaCSYJrSBBdwWoGHKSfM0e3mMDbG31CHoJBmVk0CIAkrxJnMRsbHYQZQMdGLS7PXpB\nhNY9tC/oD9IZtaahjmL3n5g4bmwuoMbmdL7oEXYDlivw+Nn09UMzDlJqLrTS+dryFL6MqNcjmtlr\nuCKNVLYCjsy5TBXS58T2e921JGtrLba2+nRMDWjmqia9bogEenFE0tBAlXypwoXLk/NQdhXr6wlL\nZTi12h9GiryCwZQNsQ+XtgJUVbCW7fmDFcG3NqZQYUisShAFNDomreZo/a3N9o4gzABJ1MdQMUEQ\nkpg1tLBRsohaf2rY5mGr3qXXnXR0KN+n3TuCj83t8yZfe7I1XP+iqViLQxxLst6MOFBzsFRIpxlO\nzFneNTi55BJ0AoLsnje0JLZN1tZaE46UF4I9kapxWJbF29/+dj7+8Y/v6fOLi4t86lOfAuDuu+8e\nvn7PPfdwzz33XO/p93EdiM+cAqWwjt7c5qm7wVw+SPzcaeIL51/UKNkPG3qh4suPpn2p3vKy67up\nG2fTh2TpwN4a13mO5IP3zPG//dkKf/T3axxfcCfSRcLuZTbP/TdMu8T0wbdd8Tj5uSqnvnQn+ZN/\ny6Un/4wDr/rgRETrhWKg/LfwIolUDHBwrK7qVfnXvajn3sfe8cpXvpK//Mu/5MyZMyRJwpEjR15Q\npEoIwYMPPjjx2uHDI4fCfffdx3333bfn45mWi5ADla7UECt4Bi+f8fEdiSEFP3IyPyE9LLNUsEHa\nn21KXnc8h5SCRicer+m+JixDcGLRQ6mDhN3L2P4slW400XB4cI7x5uK2KTk2n6ZqeXZKzGAsRYjU\nqQJgezsj3X4t/W78TBW4dM1xOrkFYkuhZB7flpNpTMIksRZw3CunNcM1s/eu8d1RitrReXe0Htvm\n+vCsw/fDHMsHvCsaiwMYYyIV5ZxJN7M1B7LmQpo75k7KkRlm5+zhHL/maI5aLcfaWgshBAtVG6VG\npGqQ8pifegVaK0SWelctmLzsgMfjZwP0tMfssRxL2+qObEsyW7ZYHfPwl3yD4wvuDonscVjbnH5K\n70zV00aR/NRiNh/JmBCJYhhiAGIrfb77jkRKccUI46FZh9myNdyHUwWTzVbMwZmRozg348GZTnbO\nVDwfy8DfpVZmumiyWnaI1SI4JhCTH4vMWZ6J6QiidYldMLE9K5WBzyCF2CGuMl2y2AwtDMfYJv0N\nxbFUVCGgODa/g+00sa3c0ecLnryio3WwTrWSxUYzZrnmUMkZJKFCWhI59r1jiz6tVjBU6ZsqmMOU\nvlLO5PZDBt/4fmpPHDqUG6aHLk07wzRjSJ9Tx5dKPH52MjMmP+/RWQ0oLOaueo9I08exJMcXXEKj\nyNNr6f0dqAKStCHwbi1UXEvS7dsTvcAG96vnyGFd5bF5Z+L8ty17KdHWqQCNbUrUoNWCEBTmfZwr\npHM+X+yJVH3mM58Z/q215umnn8Y0r5uP7eNFRvj9VKXqB0Oq0rqq+NzZfVJ1Ffzz91p0+oqfecPe\nFf8G2DrdRpqCwhVEKnbDfMXmF+6a5uOfv8wnvrTG//qz8wgh0Fpz+dlPg06YOXov0rxy0brlmRjm\nPP2Lb8Zd+Aor3/sjDtz+QQzr6gbQXrEyIFUvcqRq1lrAFg7P9U+9qOfdx97wK7/yK1d9/6GHHnqR\nRrJ3GFYOgnUst4o3ZkzJXQyP1x2fNEgGdTKl3JV/a01D7Ki3OTKX1bBICzefGrcHa3KCVFULJsfn\nd97jEzU5zxM5z6F1hRK3km/QyMRyhBAoI613eeXh3Z8d2w3KAzUn7bGV4YWUP44feXw99Laa02rB\n5A237U08aFxgreBJBnqrc9WrPxvzU7ehkv6QUF0JUgpmShadnuIVh9JjCmkgtvVYGu4jS2JtF3LI\nsDRtU28nw1qqQc3V1VDMGcyULPKewalLPdYb0U4BkrG5HCeZAFKl6VgDQYtbl7wdNVLbIYWYIPbT\nRYuib0x8T0iBsA0IEqRtsFhzhqp0O67BNyfqeRandvn9zK7BztsUZnau3RtO5vnmY6N/l32DhYU8\nqy1zSKqCcKcnpBdpZsbENuRVqw0nRShOLnrDCCTAsUxYxrEktx8ZXYO5S4Pmct7k5Qf9YYTn8Kw7\ncW/JsbnKj33f2qWRW9HfeXynaGMXrGs6HUbvC0o5izdOFXjyXEC9vYydZKRqFxI5GMdgPl5/Ir/r\nzG0/fyln7nh+2q7BTNnGL1k3nFDBHknVN77xjYl/VyqVF5RusY+bD6014ePfQTgu1pEXT6RiAOvA\nIQCi507jveUnXvTz/zBAac0Xv9XANOCuPfalGqC31SfY7FM+XMC4TjL2xlvyfPV7Lb7zXMA3n+1y\nx7Ec7fXH6G49Ta5yC7mpl13zGLkZl/qzR5h5laZ5+R85953/m6WX/xdM+/quYzuUVlwIz1Exp/Dk\njSFpe4UUkmXnEM/2nqKTtMkZL0yMZx83Fq9//et/0EO4bphOhfxUDmlcO/36WgbJbji56HF6tcdM\n2cKzJHnP2NWzPf7a4VmHmZI1YUjdSGy0YgxzBiO+DKRefD9rGHvbgZFhN469XvvilM1C1eLCZsTZ\ntT7l3POXQt5Dq83rxjiJqORNzju3slxzrpnWLQ1nT3sE0qjatTA4X34XA3sA25TccWzvDjlICc7R\neXeYKhYrvSNSNTUmcX6lOU7MrG7nOtLdx7EbEbNnPbRlIEw5FEfYCw7Uds67uEbD+e37VYh0DZ0x\nwuRYO6+tkjMm7rsBWdgeRR5AThDUqw7punC1Y+2lBKHoGzuUhK//+ZUJmaT68MTWEkJ1MXbZNEvZ\neg5EJraT9euBNCWHb69cXT3nBWBPpOql6AHcx9WRrF5Eba5j3/7qH0gDXjk1jcgX0hTEfeyK754J\nuFSPeNNt+at6o3dD/VRqmFSOXH8esBCC9/zENL/6x+f49Nc2uf2A5vKp/w8hTGpHf2ZPD8fcjEf9\n2Ra28eOU5uOsj9X/xezx+/DLzz8yuh5fpqcCTrg/mKbgA1J1vv8cJ/1rk8t9vHi49957h38/8cQT\nfP3rX8cwDN70pjdx9OiL7zjaC4QQiD0ay88HRd/g9sPXNowtU/DqI7lUiXDQ6ybso+ME6d9450Vi\nzpIYNQ7nn6FcnsUtjH6DTix6zM0UiIKA1x7LT8hr7wVCpDLu12M47wbPlgghKFYdhCnQA0W6F5BT\nOG7s5VyD1564vjrZGwXPlpxc9Mi5N4E5MqbYB1zMGtcenXNxLDGRPngl41dnFu2N5PVCCrDkC0oJ\nHYebX0QY195j6TUKhDSo5E1cS1L0jQlyeXzBJYr18Hd+edqm01fDqM9ue2S7VPr4XN5x9PrI8Hbs\n5lAp+Uaq6rkH3Lrk8djpLgvP4x50/FnCYG2YDTO4/5VRwbSqu9oftiWHEfgbAXGTHEqwR1L1kz/5\nk7te6EDS9stf/vINH9g+XhjCx9PCV/u2V/xAzi+EwDp0mPC73yapb2JUqj+QcbyU8cVvpao7P/Xq\n3XulXA2bTzdBQPnw8yuuXJyyecMteb72ZIvvP/pnmGGT6UP/addaid3gz6TqPN21HotvuBfDyrF5\n9u85/53fwy8fJ1e9FSe3gDScYUqLYRUxrKvnXA/6RB1wd4pkvBhYzhoFngvP7JOqlyj+6I/+iE99\n6lPcddddJEnCBz7wAd7//vfzrne96wc9tJc0thtpg98I59WvvaHnqeRM6p0YhGRu+Y4d708VTMp5\nk7Vg4Kl/8UkHpGlTrz+eS41wDXE/obMakJ99/sbb9gjAD4JQDbC9Ke6NxLhRniQpRZoumTvSWgdB\nByXzSDWWEzpIr9ujEb8XzJQt1psxB2p7N/RzV4vkXaNOeJA2f2Sxim37SGkhgVfvQni2p1UuTTvb\n/m1zuZHWtw1q3calv9PzjY3tOrNTBnjN0dwV5flvO7B354qU/z97bx7lxlnm+39qk9Taet/3tt3e\nl9hJSMjm7GTAQBI7wUACJMMQZpg5A4QB7nDnMPckN8wAZ4YL5PyYO5lLwgRwCFnIMoGEJJ6QEMBO\nvNvttt3ttrvd7d5bu0pV9fujJLXUklpSL+62o885PralWl69qio9z/s8z/cR0n7OXLA667A4auN2\nQFOllQMnzUTZthyisIudnO66LVu2oCgKd9xxB7Is89xzz7F//36++MUvzvf4CsyQ8MH9IIpYViyc\nYSi3tBE+sI9I94mCUzWFMyNh9nUHWFZnozVDU8xMBMfC+AYCuJscKf1Y8mHLpSVI468jhzqxl7RT\n2rA5531jhof3TMDMxW++GWfZaga7nsM/1ol/rDPtfqJchKvyIkrrr07rwPUEo06VdWGcqnpLEwIC\np0LdC3L+AtnZsWMHTz31VLxX4l/91V+xffv2GTlVoVCIr3zlKwwPD+N0OvnWt75FaWlp0jaf//zn\nGR8fR5ZlbDYb//Zv/zYnn2OxEFscnSsaKy2M+iIzTtGpcCsMTaiU5hm9nwlx50Awa0VLWmanABaL\nolnS1KJcqBhAsT3VoYLJ9DVddCc5VZuWOjEER9qanZniKpK4pN2RdhyZKHNG+7WFw6g93chV1Yju\n3OS126qt6BjY7OU5L0ZmItH5dtslWqutKfek3SpS6VYonYWzbFVErOc+cSmFxM9mt4rIooBVEZOi\ne+crOX2CN954g6eeeir+/0996lPcdttt1NfXz9vACswcfWKcyKmTKEuWzUtqR64ozaZAhdp9Ys5X\nQ893fvOuWZR500X590cYPmruW748/whXDF0LIY88w+aGPzERdmCtuD1rHnkisk2mqMyKdyCArhmI\nkoDN1UDjus+jBkcIjJ8gHBxG10Jg6BiGTiQ8TshzmvEzbzF+5m0ql3yY0rork47bE+qiSLRTIc+d\nmmA+2EQbVUotveEeIkYEWTj/H/IXGsXFxUlCSUVFRTgcM1s1/dnPfkZ7eztf+MIXePHFF3n44Yf5\n+7//+6Rtenp6eOGFF2Y15kWNYcxORm8KDptES7U1SeUsH5qrLIiCuXp/PpKuRudCY2pEbtyfviYI\nwGGV8OvJdogoiHnXAudCrg5VNDhJTJNEGx3B8EygBgJY167P6Rh2dyNB72lky+x7HCWyUTX3AAAg\nAElEQVQO21UkpV3kEAQhLk5xISGJApuWORYoXj335GwxvPXWW7z//e8H4LXXXpvxj1iB+Sd8+CAA\nllVrFnQcckMDyApq1/EFHcdiwxPQeOOghwq3nHehsGEYDB0eQ5SFrPVUanAE38hhAuNdaNHGkYIg\nokdCBD0nMQwNTanjx3uvZ5Ou85na/D6Hs85O4MAo/qEgzurJZn2KrQzFlj4yaRga3qH9nD3+DIPH\nn0ENDFHZ9hEEQWBIHWRMG2FF0dq0sqrnikZrMwNqHwPhM9SfY1n3AtlpbGzkzjvv5IMf/CCyLPPy\nyy/jdDr5wQ9+AMAXvvCFnI+1e/duPvvZzwJw9dVX8/DDDye9Pzw8zMTEBPfddx8ej4fPfvazbN68\nec4+y6JA1+ZctaG2dOYOkUUWcxJjKLBwCIKQVqwgHUvrrJzoB7uzgdGR07EjzO8As2C3mdLn8Whq\nTOo9ombeaQoWeyUWe+WcjCfRGcxXBfhCIJ/o4mInJ6fqf/2v/8VXv/pVhoaGAGhra+Of/umf5nVg\nBWZO+NABYOHqqWIIsoLS3IJ64hi634doLzjiAK/sGSccMbh5Y3HeOffeM35C42HKlxcjZ+jrYegR\nRk6/zkjPy/E+OVOxOupxlK+ipP5a5P1n+P0RD9uvKU+pu5gOV62dwQOjePv8SU7VdAiChKtyAzZX\nE70H/4Oxvt8hKU7Km26gM3AIgPaiuW0mnC8NlhZ28XtOh7sLTtUipLW1ldbWVsLhMOFwmCuuuCKn\n/Z588kkeffTRpNcqKiriaYQOhwOvN1kLXFVV7r33Xu6++27GxsbYvn0769ato6zsAkpn1mehS17g\nPUuinH3NNE603SqxptlO79mERcAFNqKX1Fg5Ox6hag5aCMwl09V4FTg/yMmpWrNmDS+88AIjIyPY\nbDbseaSU7d27l+985zv85Cc/SXr91Vdf5eGHH0aWZW6//fa8misWyIwRUQl3diBVVSNVzM0qymxQ\nlixDPd6JeuIY1jW5hdUvZPwhjd+8M47DKnLNmvzlxwcPmeIWFSvTp/7pWpjeA/+XwEQXksVNeeMN\n2EvboykKRvSPgJiganT1ahfPvD3KH496uTqPMbnqzefAxGkfNReV5/U5FFsZDWs/R8+e7zF88iUs\n9iqOaqZTtWyhnSprMwCnQyd5n+uqBR1LgVTyiUQlsnXrVrZu3Zr02l//9V/j85lNQ30+Hy5XcvS3\noqKCO++8E1EUKSsrY+XKlXR1dWV1qiorZ1ebcy4Yd5sLIc4yO1JRbosic8n5MEfpUEdHAVCm1N7N\nF4t1noTeCO7o0JY1Oyl1Te+g+NUI46Pm705VdVlS0+PZku8cVQItCetl/jERNXo/FC/QfH+o3InZ\nj3p+HM7Feh1daOR0Vff29vKNb3yD3t5eHn/8ce677z7+9//+3zQ0TN+c89///d959tlnU1IFI5EI\n3/rWt3jqqaewWq1s376d6667jvLy/AyzAqmoJ7tBDaO0L6xhGiPWeLjgVJn8+p1xfCGdbVeW5RUV\nAtDCGiOdE1hcCu7G1KifoUfoO/wogYkunOVrqW6/A0nObixdvcbFs2+P8vr+ibycKqvbgq3EwsRp\nH7qmI+bZSEO2uKhfdQ89e39Af8fPGaoJU+doxCXNrtfVbCmXKygS7ZwO9yzoOAqk59FHH+WHP/wh\nHo/ZViAmtHD48OG8j7Vx40Z27tzJ2rVr2blzJxdfnFz7+dZbb/H444/zox/9CJ/Px7Fjx3KSbx8c\nTO3FtNgITZgpwcHBCcSizDUx80Flpeu8mKN0hN7dA8y9amI6FvM8TXgmG9GGAxKDweC024+MBggE\nTPn1oSFfXjW80zEXc6R6wujR+yG8APNtRMN+8+lQzed1ZGgaRjiMuACLMzPFMAzQdQTJjA7OldOZ\n01X9D//wD9x7773Y7XYqKir40Ic+xFe/+tWs+zU3N/PDH/4w5fXjx4/T3NyM0+lEURQ2bdrErl27\n8h99gRTUY0cBUJa1L/BITOTGZrOu6vixhR7KgjPui/Bfu8dwFYncuCH/4taRYxPoqk7FypK0D9+z\nx5/BP9qBo3QFtSs+mZNDBaba1prmIo6dCdE7HM5rTO4mJ7qq4+0PZN84DVZnHdVLb8PQw7xv2GBt\n0YYZHWcuEQSBBkszo5FhvNriNGjeyzz66KM888wzHD58mMOHD3PkyJEZOVQA27dvp7Ozk49//OP8\n4he/iEfBvv3tb7N//36uvvpqWlpauPPOO/nzP/9zvvSlL1FSMnOBmEVJIf2vwAyIpc41lFtyqokp\ndZrbl7uUOXOo5oxYTRWTDs45O7WmET64j/CBvRh51HQtJtQTx1CPHEQPzMwOWAgiXcfNOdey1wXm\nQ06RqtHRUa688kq+853vIAgCd9xxB48//njW/W688UZ6e3tTXvd6vUlpFg6HI77qWGB2qJ0dIAgo\nrUsXeigACEqhrirGL98aIRg2uOO6/GqXYgwdNlP/KtOk/nmHDzHe/zZWRx21K++O94bKlWvWutl/\nMsDOAxN8/Jrc5WGLm5yc3TfCeLcXd/3Mvltn5UbO9j5NlS+EezwEsxdTmjWN1hY6g4fpCXWxyr5u\noYdTIIG2tjYqKmYnYRzDZrPxve99L+X1r3zlK/F/f/3rX5+Tcy1WjHAIZig8pY2NEuk6jtzUguh0\noXsmEMsrQFVBlhHmWABjoTF0PftGFzjqqZOItiKW1FblJShSZJNZWmdDWIw6b4mO1ByrYWY9dSho\n3i+AEQohyIurzisXDK9pv+sTY+dNtEofN+0pIxxGmMMx5+RU2Ww2+vv746vju3btwmKZubqP0+lM\nKgj2+Xy43Qub8nMhoAeDRE6dRG5sXlQXtrKk3ayrOn4sZ7nSC42ugRA793uoL1e4dl3+13poIoyn\n14+rzo61OPne01QfA52/QBAkapZvT6qXypWNSxy4ikTePORh2xXlOfcPcTc6EGWB0RMeGq+ozvu8\nAD3hLt4oDfLhoILn1OuUVW6add+P2RLrk3Uq1F1wqhYZd999N1u2bGH9+vVI0uTiwUMPPbSAo8oP\nbWgQJAnR4UAbGkSqqVs4B2QWjkLkZLf5d083gsuN4ZlAFgUiJ7sRS8pQWtvmaJCZmdpnyzAMMIy8\n5tPQTAXEqRkAhqbF04OiB5/1eGPoAT/a4Fnk2noEJXdD2tB1tMEBRFfxtC1TtLFRIqd7ECxWLO0r\n5mLIGIaBPjSIDkiV+bW9EARx3hwqbWyUyKkeLMtXIszENk2M1up6ihqmEQqBJM6Lw2OEJ7NDdI8H\n0eGc+bEMA23gDGJJGaJt5gqame6HqdtEek4iVSf87k8TgTQiEZBMufjI2X6MYBClqWXGY5wrjGAA\n5tBezump8/Wvf53Pfe5zdHd385GPfIT777+fb3zjGzmfZGo4dcmSJZw8eZKJiQnC4TB/+tOf2LBh\n4dN+znci3SdA11GWLlvooSQRG496/OgCj2Rh0HWDR18ZxAA+eW3FjJpiDneYvanSCVQMdj2Hpnoo\nb/kAVkeeuuhRZEngqtVuPAGdP3V6s+8QRVJE3E1OgqMhAqOhGZ37dxOvEpLA3nIdhq5y9thT5zwF\nYyp1lkZEJHpCXQs6jgKpPPjgg2zZsoXLL7+cSy+9NP7nfCJy6iSR7hOoJ46hDfSjDZ6d83PowQCh\nfXvQRobNc/b1ontTM0IMbeb1VLEVXsHlwvBMmMfz+83zj43M+Li5Ej56hPC+PRiahh4MEOk7TXjP\nbsJ730EbGUq7jx7wJz1fjIhKeP8eIqeTayh1r4fwvneJDJxJeDF7qpCh6zmlFEVO9aAPD6END5qH\n9vvQhgaz7qt7JtD6elG7M7cq0SfGiXQdB1XF8GV+nus+r+ng50oeDrju9aAnnFsQRGyuJuwlyfaJ\nYRhJjsVMiHQdh4ga/851vw/1ZBd69JrMSkL6n55mvsKH9hPev3dWYzRPo6dEO/XhyetUO5Oa2ZUP\n+ugI2pk+1MMHkq7xiNeLEYmgB/zoWWrfdL/PvO5PdmUcM4A2eBZ9bAT1eGf8tUxOmKGGzXss2l5H\n6z0d/9y6348+keP3NA9Euk+gnjo5Z8fLKVI1PDzMk08+SXd3N5qm0dbWllekKjbRzz//PIFAgG3b\ntvH1r3+de+65B8Mw2LZtG1VVC9Ps80JC7TLrlpS2xeVUyY3NoFhQj3Vm3/gCZOcBDycGQly23Mnq\npvybMRuGwdCRcQRJoHRpcpQrMN7FxMAurI56SuuvmdU4r13n5r92jfHKnnHevzL3os3SJW7GTngY\nPTZB0SX5KU72h/s4FjxCk7WVlqob6R3pwT96BM/gO7irNuX7EeYMi2ih1lLPmfBpwnoIi3jhN/Q8\nX7BYLDNWADxXGLoOgpDWyEg0UIxQ1Jicw1qKWORGnxgHLULkZBdGJII2cAZt4AyWNetQTyQY5JH8\nagoMXY+mKclxg10QJWImnDY2Ft9W93oQnemfJdrQINrgAMryVUR6TyNYLUgVVRiBAGI0HdGIqKDp\nCNbU+8/QtPj51e4TGBPjSe9HTnYjlSVHvLWRYSInu5AqqzBCIaSqagxVhWgEJjQ0iGXDJnP+xkyV\nP21gALm6FiOiEklTzjCV8IG9oGlZhSwMv6k6qQ0OIpVXonYeBV1DHB+LCzzpoRCGGkZQEuytmNMV\nyryINdVJ0X0+RIcDIxQiMnAGubYOQbGgHj1ivh/wI1fXZo3yGFGlTABDVaeNsKmdHYAp6KF7Joic\n6UMsKUGqSFZN1PrPoPX3oSxbnvFa0X0+tIEzyA2NICsY4RCiLU10QRDQvZ74ufWR4aTvQZ+YQD1+\nFLmxGcFmQxvoR25ujaeCAUROHEOMXgOGrqOd7Z/8zBEVBDE5ejl1rIEAgiynzE2sdgrMHqLxqNfU\n6Kiu5x21jvSdNp2mhM9BOAxWK3owgO/4CSJikbnQIctY104GMYxQCG14Mlqudpj1qfroCHpVDWqH\nqcqrrFiFWDRpv8SdzzQLoNrQIKLbjWAx71sjWmuVNL7oZ40df+r9Yqgq2uAAUkXVzKKP02BoGshK\n/Lmr57OwkIWcnKpvf/vbbN68mWXL8jfW6+vr+fnPfw7Ahz70ofjrmzdvvvCaKC4w6onjIAjIza0L\nPZQkBFlGaWlD7Txi5ty73jupnp6AxhO/G8amCGy/Zmbqlv7BIMHREKVL3Um9qQxD4+zxpwGoWnrr\nrIt/q0sU1rbY2dft50R/kLaa3NIHSltddIsCw53j1OXpVL0x8QoAV7mvRxAEqpfeRvfubzN44jkc\nZatyFtuYD1qsS+gN99AT6mJp0dykzxSYPe9///v51re+xdVXX42SYLhccsklCziqSYxIhPCBfWDo\nWNZuQBBF9ECAyKmTiMXFaH0Jhnks8pFHYNZQw6bDliYVadJpqEZIqJMyAv74vyOneuIGPZAUvTIi\nKtrIMFJZefz4hqoS7jiEaHegtC1FPdGJMaUGOimyrE4a9GpnR0bnIhJdHdbHx9CHzEid4fejj44g\nty1DKi6ORwemHiNWyxU//xSHCkhbFxP7rLHIoD4xjlRTl/xZPB4EtzvFVgx3HIFwekdGGzxLpP9M\nknOsT0wgZihriKUoAhBRifSeil8LerQ0wgiF8Lx7kPBEIOnzawmRjYwG+JTPrh49jNy2FH10FH10\nGDUcQk743PrQIOHhITMltaQMuaExviBghEKop7oRrLYko9jQtIxO1dTIRkxAS/N5wQC5umby80S/\ni0j/GSxLXaZz4PUQOXUSqboWqbIK9ahp6Id9XkSHE318DGX5SkS7Ay1BHEGw2tCikvdJ45Qk09mK\nZstETp0ESQYtgj6aJqIarasyvF60M33xl2PXY8zxTt3NQD1yEEjnJITjDrERDpvnN4yUrIzw3neQ\nqmuQ66ZX105EG+hPec3QNdA0jOj1FI8cR5Ij0+rxToxQEEGxpKR0xhweiEagE5yqeNRSEIHo59J1\n04GOzq91nem8ZYq+hg9MRv+mpvGaEfwBjHAYpWVmacT6xARGKJj0uXSfL349zQc5OVWNjY18/etf\nZ/369dgS8jQ/+tGPztvACuSHoYbNeqr6xlnl0s4XytJlqJ1HUI93Yt2wcBGIc83Tvx/BF9TZfnU5\npc6Z9eWIp/4tT1ZwGOt7i5CvD3f1JRS5W2Y7VABu3ljMvm4/L+4a4wsfqsm+AyDbJIqbnYx1eQgM\nBykqz+36G1IHOejfR63SwFKb6bQotjLKm25gqPu/GO5+iaqlt874s8yWJUXtvOl5jePBowWnahFx\n6JD5Q3/w4MH4a4Ig8Nhjj834mC+//DIvvfQS3/3ud1Pee+KJJ9ixYweKonDfffdlXQzUQyGIptRp\nfaeRG5rihpaWMRUru1dl6Lq5qh9NR0tagQ8GIRyKp+xogwMIEwn3YYJRM3W1mIRVd63/jGnkhsPI\nDU0AhDuPgKqazk8ggBFITR9K69TE3ptalzSFSPeJybFFDVx9YgwjkBwVUU8cA11Dqq1H6+9LOU4K\ngkj46JHsNcZGsgNgGAZqT/dkWpYWMQ3fDA4VkJI6CKYASKT3FEgSUlUN+tgoht+HYHfEv6cYiYa9\nEP39jpwdIF183EhwgvWR4fT9KNMY/JHuEwhRo9jweFA9HVMObEAkgj50FjUUQLQ7kaprCB/aH98n\nZft04wuHiUw18kUxboRrfaeRKqsQRNF0vqL3iuGZQD3eaUZYo2i9p0i6NxKiMYbfD3YH3r1T0vKm\nGPCR0z3Ijc3x6NXkduZ5dW+aezJaV2Vk+M6NgJ/I8BBikR2pohLd543PbXybKU7CVDEM9XgnRjiU\nHIWMDW2gP8WpMgwDfXwMwWrLqWZePTLpEOFO3j7mjBvhkCmUQbTmaRoiPd2mjdnShlRSGv88QpEN\nw2MuJmh9pxFiDpAWQe3pRmlqiZ8DpjhYif/W9aRnUWzujSmKgrnIz2tDg+gT4/FrRayojG+f8vyb\nY6a18gYGBqiurqY02uRu75SLt+BULR7UnpOgacit2XuoLATKUlPi/b3kVPWPhnlt3wRVxTI3XjQz\nSTtDNxg+Oo5kFSlunixgjYTGGT75EqJcREXLB+dqyKxpLqK5ysKfOn0MjKpUl+ZWmFveXsxYl4fh\no+M0XJ6bU/W2ZydgcIX72qQHZGn9NYwP7GLszFu4ay7B5sx9xW4uabS2IgsKx4Md2TcucM6Y2kh+\ntjz44IO8+eabrFyZ2ttvaGiIn/zkJzz99NMEg0G2b9/OFVdckRQhm0qi0aANns2pXkobPItU35gs\nuBAOoZ44hlzXiOh2o3Ydz+i8qIcPpI4j0ZCZrhYosZ4klqYTrYsyDCMpzSzSdzrvVMXwvnfz7+mk\naUm1Pokr2vroSG4qfLqZHhjp6cayfCV6IIA+JYoBpDgH+uhwSvQicS4ndzOmNewwDLSzAwAIkpzW\n8Uo/bt2sMxk6GzeGY5E5ZdnypE0jp04SOXUyKXXO0PX0tU951EMZHg+axzNt2pV65CCCw5kkgpGY\nepeIWFyKPjoc/782aKZUxtLh4vunub613tPpB5AuQmcYSecB0/HUpxF/MNQ09VzReyKSodYmniKH\nGR02fF6kyiqk2vr4NuE9uwFz8UPt6U5KnUTT4jWIZFDqnRqFNHzepOgsigXLytUzUioM733HTAPu\nmlzQyElDxDDMMTQ0ZazViyR8X/rwEHpVdbJjlOk6NHTAnAt9YnzyGRQMoAf8CFabmZ54+CCIApYV\nq833Nc08piyjnelDLCs3o8aJ32s08qiNjaatmZtLpnWq7rvvPp5++mkeeugh/uM//oN77rlnXgdT\nYOZETkTrqRapUyXXNyJYbYSPvXfEKp58cwRNhzuuKkeWZqZ65On1ofoiVK4uRZQnH7CDXc+hayGq\nlm5FtsxcLWgqgiDwwUtKefiFAZ75wwif+0Buin4lbS5ERWToyDj1l1VlbWLo07zs8f2JEqmMlfa1\nyWMQZaqX3MbpAz/i7LGnaFz/hQXpa6IICi3WJRwLHmE8MkqxXJp9pwLzzq5du3jkkUfw+03BAV3X\n6evr49VXX53R8TZu3MiNN97Ijh07Ut7bt28fmzZtQpZlnE4nLS0tdHR0sGbNmozHC3Z3z2gchsdD\nZHgoReBBPX4Uy/qNKQ6VHvAjFtnRclh5NaYrTo8qn+leTzwKYvi8RAbOIFUkpwNNF5GaDrWnG6m8\nIruymSBEDePMIhf62ChSVU1Srct0GH6fGX3qOpYqNCHJKalJ6c6t9adJr/J4MBQ5JZ0q/n6CI5az\nQ4VpRCamXQFxYzqdwxJ73XrRxWjjY3FbYC7IFr2YaljrObbGMUIh89hZjj8d+vgYUlluKfWZnCNz\nMLGIi30yTTaP3m2xOdCGh1JSSSGaEjecLJoSOX1q8v2A33Ssplyb4b3vmDV/uo4+OoJUM0WESg1j\n+LxZhU3k5hYYHYjfW/HjH9iXsq2h5rZgkng9p0QwpzipRiiUtAgSE85JIWHOE8UvYDLqZlm7fjKy\nFv0s4X3vmhtFa6S0RGGZKOEDe83vN41Qz1wzraWSmOv53HPPzftgCsyc8LGjZn+qJYujP9VUBEky\nc7qHBtHG0qwWXmD0DIb441EfrdVWLlk2895cQ0dMI6Y8IfXPO3QAz+AebK5GimvmXvXs0nYHjRUW\n3jrk5fRQbop+kiJSttRN2KPi6fVn3X6P709EjAjvc12JJKSu1NlLl+Gq2EDQ08N4/x/z/gxzxfIi\nczXsoH/2yk8F5oZvfOMb3HDDDWiaxic+8Qmam5u54YYbsu735JNPsmXLlqQ/Bw4c4JZbbsm4z9Se\nina7PWtPRc2f/fpPR2RwILNiXhrjU+08SqS/LzcjehpjyQiHiPSfSTHYtb7epPqd2aAPD8UNSSMc\nIjyYoTA8R9XPfBULtTN96YUdtEiKwZuOqdEPMJ1d9ciheL1Q6hhn31RUTCPQkQltfDz7tZD3vOWn\nRpcuLdOMnKXOxWwb3epjoylOQEaDfRom6wsnrz3d78t4LClTrZOuox5LdXrTOcIpkU9dA0vqd62d\nHTBFFDQtbcTOiESS0menIthsSGUVZsQr670lpI3aie6ZZdnE6pgiJ45NOlqCgNaXPvJo6Bp6wE/o\n3V1TBjDppiQpMKrhpAh2SgRdSogZaVpGh0osn9v2LdNGqlJ6PxRYlBjhsKl0VNewqJvrWpYuQz18\nAPV4J9Km80sCOV+e/r3pON72/tKsUZtMaKrOyLEJLC4FV72Zrx0JT0R7UslUL7tzXiI4oiBwx5Vl\nfPeZfh5/fZi/u702p89QsaKEocNjDB0ew92Q+TrUDZ3d3reRBZn1jsziAhVtW/COHmao+0VcFWuR\nlHN/ba+yr+O/Rp9mn+8d3u/efM7PXyAVm83G7bffTm9vL263mwceeIDbbrst635bt25l69ateZ1r\npj0VXe6ZCKyEU2of4uMoseFN955vNOM+2VBKS1Fj6XC+kfTH8QzlfXylvBy5pITA8WTJb8lpx1np\nYmL3UQKqOsM5MhG0AEaW/R2rVuGL1t8RGJvxPGVDdruJpJOEjvhnfU5bc7NZo5cFQZIQPIPouZzP\nMrmNUl6OrakJzePBf+wYSkUF6lB+jrS73BFPUxtPc353pQvvaT1pbNbKYnT/KOpsv5Me06GdvJYy\n30PZsNbXE4qqO4q+EXPe3UWIFgt6gpqia2kjHu80zpsy9fx6TmOyNTcTPJmntPdof/zY8Rq1BJxr\n1yI5HEx0C9nvN98I+EawuYsQJCm+KKCUu1DJT/LesWIFiCK+UIIjoxSlHWOMIpuA7g8QmjJOS00N\n4TSRYk4dw2pXgPSp2IKiZIy8JX4+S5mTsOpLu91MyLlyfqaGYYH5R+06DloES7RuabESr6s6egTb\nBexU9QyG2H3Mx5JaK+ta8pdQjzF6bAJd1am4qNyUdzV0+o8+gRbxUdn2EayO3IQkZsK6VjvrokqA\nf+jwctmK7BLrrgY7VrfCSOc4zVfXIFnT54qfDJ1gJDLEesfF2KXM86NYi6lovpnBE79isOt5atrv\nnPHnmSkOyckS23I6g4fpD/dRY0lN7yhwbrFarYyNjdHa2srevXu5/PLL8c8wOpSNdevW8a//+q+E\nw2FCoRAnTpzISQXXM5FcXC2WlMYlumeCv/Mk2pRjzhbrktVEgkbadJl8kCqr4nVjYmk5Son5XApN\nnQPBSmDQQ2h4Ape7KGWOsp6nujbrWGMNiKXaOsIhAVVx5BSJyhWxrBx9SgRDcpVjYElbD5QNuW0p\nhMMZ0wOdRTnOkyCYRf6RSHwOcjl3uLgE30QYsMKS1QQDAdSJU1n3TcTz2/9GsBUlKUwm4tu1DyOo\nmk1WY/tMZO6xJZZX5PWdpbuWpPqGzLVYGQi1utGL1WiqYKKioAHR9gGCy0Vo2Ec4j2tXsNkQ3cXx\n+rpMBMYCRGZxj8stbUilZegBP+qRQwhOF2G/Dn4PVlHEM5p7LZFYXII+YW4vygH0PMcV8utgaHnN\nk+fd1LpQALnEmNm8SGFTKXLKfSm3LUO0F6H2nEQqr8A/7kObCDCzeFya8U73ZmdnJ9dffz1gilbE\n/h0r0Pztb387R8MoMBti6QdTi1gXG1JNnXmjd3ZkL/I9j3n2bdN4uvWysll9xrMHzOPEGv4Odj2P\nf/QI9tLllNRdMfuBToMgCNx1XQX/49FT/OS1IVY2FlHsmH4NRhAEKlaV0Pv2IMOd41StKUu73V6f\nGd6/yJHdsS6pu4KJgV1MDPwJd9XF2EvOfc3gxc7L6Qwe5q2J17mt4uPn/PwFkvn0pz/NF7/4Rb7/\n/e+zbds2nnvuuWlrnGbCj3/8Y5qbm7n22mu56667+PjHP45hGHzpS1/KuUej2RDXg2C1obQuQRsd\nQR8fR66rRx8fmzSkJclsOXE8cx+/bAZZHEWJtq+YTDkSiopSFLRiSBWVs3KqxPIKpOqauFMllWeu\ncYlnu0wpzBcrqgAjY68Y60UXT6qVRdSMBrdgd2BZ2p5c4D/LSL7gcCbXDaV5nubjOckAACAASURB\nVAuCiJ6jCIRgd8TTzaS6BkR3MYIgZHSqREWJ18LIrUsQRAnB6QRdN2uSwiHUk91m6pOmmXUjOTa8\nTdvaJMPPldy2jMjJE6Za25TaHAwjo0MF5LSYILiL4/V66XqSmYPIXL+WwpTMKrmxGd3rRR8dTv1O\nY2MQxYzCHIKiYIDZZiDH33SxpDRe455TWmIm8RtJSlE0TDtGqykQJRbZsazfmCRykdEOkSTkuoaU\nmjPB4YCYcp7DmbKQEN+9sgokGdHpjNuhUlXNtP3L8kUsnqG7I0pINXWmwmFiTamhIygWLNFecJHg\n3C5WTWsl/frXv57TkxWYH8Idh8wf5taZafmfKwRRxNK+gtA7f0LrNxsQXmicGgzxp04fbdVW1rbM\nPLXBPxTEe8ZPcZMTW7GF0d43GOv9byz2ampXfPKcCDdUlyhsu6qMn74+zCMvD/LFj9RkdRIrV5XS\n+4dBzu4bpXJ1aupjWA9zyL+PYqmUJmv2fmqCIFG1bCun9nyfs8d+SdPGLyKKc/fAzoVlRSupUmrY\n73+Xa9SbKFfmNge7QH7ccsstfOADH0AQBH75y1/S3d3NihWzk7y/9NJLufTSSSf/05/+dPzf27Zt\nY9u2bXkfU5AtpiEWlciWSsuQSs2FBrGiEjIY0nJjM6K7OEUZLdG4sqxZD4aRso11zfqU40k1daYc\n+sgwypJ2s1dPTMZZnLw/xYrKvJpgKitWmYZcosE3jXT6pOrXpMErty1FKi7J7FQUmwtKMQNRaWpB\nc7njdSSC3WHWgSSk+SQak6LLhT4+iiDJyPWNRE73pFXyA1DaV8Sb4U6evzhJBl8sLjEbzCbOU45G\ntrK0HdHljhbua0mNVDMhyDLK8lUgkNzsVhQRZBlsNrMJc8RsYDxVEU+w2jJ+3nT9rTL9rkjFxURi\nHpdimVZePj7E8goEq3WyL1vMIZlStyMUFSHXN6JGnSrR4SR2RSVGJ6XScrTBHBcXEkQP5MZmpIpK\nxNIyNIuCVFGV5t6KmsLp5sRmQ6qti0vj5/p9S1UJIk8Jx5Uqq+OfI/H7ER3p09vTOT3pEBJa6aR8\ntwn/l5tbEIrMlE3BajXbMSSNuwapvDL+vSU6uamRWiHFjhPsk9e1Zf1GIj3d8SjqjKL1GdQRM25e\nXgGajlhWhuhwoCxZRvjg/oQBJn9/YnEpuu8cpf/V19dP93ZWDMPgm9/8Jh0dHVgsFh588EEaGxvj\n7z/wwAO8++67OKIX08MPP4zTOXdKZu8FtMGzaGf6UFaujnevXswoUacqfPTwBelUxWqpbr185rVU\nAAN7zYL1qrWljJx+jaGuF5AUF/Wr7z2nDXFvuqiYvSf87Dlh9q764CXTK+BZnAqlbW5Gj0/gPePH\nVZf8Q9EROEDYCPE+x5WIOTqGRa4mSuquYKzvdwyf/DWVrR/KvtMcIgoi1xTfxC+GHuOl0Wf4RNWf\nn9PzF5jktddeY+nSpTQ2NvLKK6/w5JNPsnLlSpYtW4aYTmJ5AZFqasAwUlW7MFeOY2lOUnXy+4Ld\ngWCxYFl30aSyFSC6SxAdDvSJcXPlfGp0JKHfjdy2jMiJaORLEFGaWzEamxFEEbmlDSHW5ybhHpRK\ny9I6VVK9WasbOdUTT+ES3cVxpyAxJjBdTa/h9STJpAPx/lWCqxhi0vNRFS8ApS1VeEksmXwGyc0t\nRLqOm7UTaZ63Ukmp2VMnimWVGdGMRbMivacnVQSnOiQut2kAJzRrFgTR7N9VldC/SdeQ6xuI9J1G\naW4FQUguqMdMzYpFhgSrNSf16vjnzdKTyJiy0p6YjinV1sUdULG4xOzJNJ1YxTS/WaLTbLorOp3o\nI7kJGAmJBnFETb4uoyhLliEolrjsvqHrIAiIxSXIdfXm+fw+pMpqcxFAVqL9q4jLbEu1dUlNeqXy\ncrTRYQiF4teLEI3KmOdsB0k0Gxp7PZPOexpHV25pQxBFxKYWc3xZ1fZaU1UJE++zyqq4U5Xo8Aqy\nguB0JQkqyA1NiGXlCMND8Qin3NyKYLeb0uJJp8j8/Et8TypLXhQU5ITvSJKR6xvMqLKsgBZBsDvi\n6ctCkR25wTG5CJKwKBOLiMciZrHzJjbuTRGhAPM5d3Bfxmhc7JmVSZBDKLIjN7XEFTPlhqbkuZCS\n3ZypUTSxqCgetZoL5vVX6JVXXiEcDvPzn/+cL3/5yzz00ENJ7x86dIhHHnmExx57jMcee6zgUM2A\n0P49AFjXXbTAI8kNyzJzRTnW5+FConsgxK5jPpbUWFnXOvNaKtUfYejIGFa3hMrrDHW9gGwppnHd\n51Fs6VPq5gtREPj8n1VR6pB44ncj7OvKXrtSvd4cY/87qSkD+32mkbjOkV+vsoqWW1Bs5Yye3klg\nojuvfeeCVUXraLUupTN4mEP+VCnaAvPPI488wg9+8ANCoRBHjhzh/vvv5/rrr8fv9/PP//zPCz28\nOEUtLUjVtYi2IpTWtoxGsdLUgmXdRcjVNQjRHkOC3RF3eKY2zBWsVqTKKpSoASCIIoIrfa2jVFxs\nGvLlFYjR39WYoSGVlk1GPRJThBKMISXaA8bcTzJ7IMWkp13upH6IgihivejilF5UcUPVOTnGSH9f\nUp+aeBQvMcVH18yUogyqXImLVYIgIjc2g8Vq/p0j8bmoqkIsLUNZvspM7Yq9X1SEZWm7uV2ioyGY\n509KUYtEEO0OLEuXIyiWtClisQhlJpQl7YhTtonNXz7Ijc3IDU1YVq3FsmFTvHeVVFuH3LoEy9r1\nIMuTTnXKQBTzmkkzXrmpBbmpJTkCMw362Giqo2pJk2Uw1egVRSxr1iM3m5kMorsYuaYu7hTJVdUo\nK1Yj1TWgLG3HfemlqVL9soJl+SqUlWvMiN4URLcb0eFEkGWkkskFUEGSzKiUIGBZsz4ljc7caHqX\nWLClzq2Q4HwgiljWbkCsqERuSc4uSrwGgXiTZMvyleazom0pYvT+FUsnHTepfvpejtMpkiZd99Hr\nWhAELCtXY1l3kTnvTS3IzS1IFZXmM6h9pbnokHAtKEuXm/3S7NPUSS9pN9UEE+9hSTId5kSmXKNS\naVnSolHis0aqrkEoKkKwFSE4nCnfV+JzVG5unXcxt3l1qnbv3s1VV10FwPr16zlwYLIQzTAMTp48\nyT/8wz+wfft2fvnLX87nUC5YQvv2gCRhWbU2+8aLANHtRm5oMjunz1Nx+UJgGAY/22nm+m+9cna1\nVAN7h4EgzvbfMtb33yhFlTSu/yss9qqs+84HbrvM33y4BlkU+OELA/QMTr9K6aq346guYvSEh0DC\niqZP83IseIQapZ5KJbcf5hiiZKWm/WMA9Hf8DC0yt3nQ2RAEgQ+W3Y4syDw/8kt82vw2ECyQyrPP\nPst//ud/snTpUp5//nmuu+46tm3bxte+9jV+97vfLfTw4lhqapDrcsvyiEdqoo6JZfnKaesfpqIs\naY8bNlNXx6XSMpSmlhTnLOn8icaNoiBVVSNV1yav5ka3iRlucl39tKviMeSWNixr1mFJrPVNTNNz\nuZIMaiFmGEsSljXrUKKRgWkRRUSnC+vqtVkjOukQFAtKSxui3Y6gKNH6LrOvYgxl+arJHRJqdWJO\nn5DGSBPLK/Mah+h2J63oS9U1aaN06ZCbWhCidTSxORCsVtP5UxSsF11sOiWCYBrLq9aitKc2ugbz\nelCaWpCqJ0WQYtEbQZaRyisQpFQnRVmZWtMoWKypMt5pshPSpiHK8rTXmFhUZC5GxGqgptbwCAKC\nJCHacmtEn4hcU4d1wyYERUk/NlE0r5OE+8qyeh1K+8qo0Z7qVCQ54YJgpnU2NiOVliE3NsftN7lh\n0jmyrFmXfAxJQiouSbhno3NrtSJXTS9aFZ+HDNlM8cWZhEbgid+BIEmT0uyYqYqWpe3JDpksx534\njONwu83I5JQASmLdlFhahmXFKpTlq7Cs3xh/3dIefY5EzymWlIEkxesSlRWrkhpRJ2JZux7L2vU5\n9zWbDfPqVE3t8SHLcryg0+/3c9ddd/Htb3+bf//3f+enP/0pR4++dxrDzgWR06fQek+htK+YdnVg\nsWFZsw50nfCU8PX5zDvH/Rw+HWR9q53VTTP/LiIhjcGjh3Gt/BWa1oWjdAVNG/7mnEeoprKk1sZn\nP1BFMKzzT0/2cXoos8SqIAjUXWwaHL1vn42/ftC/Bx2ddY6NmXadlqLiVkobrkUNDjNw9Ilz3uah\nQqniuuJb8OteXhx96pyeu4B5XRVFjcY//OEP8QW7C1XwBkBuXYJUW49U34iUJnIjCAJyfSPKyjXm\nCvtMsFrjUSq5vtF0CCXJXBkWhHiNhFRcgvWii3Ne6RVEESG6uiylMfosS5cnfXdKNLJmWbkmq9Mm\n1daZq/hzWBAPoDQ2mc5JgohDYq1K4jNHbmhCaV+RlF4Y30eapUBGHqvpUnkFlhWrcnJ0wTSQs26b\n4Pyk9JMSU+830WbDsn6j2fw2GhlKF2kT0uw7FySmGYql5fP+TFAam5AqEhxnUUR0ODIa7YLFagp1\nuYtTImdSReVkhCghGpP477REL0Uhh2RSa11dfNxpx5dn3dJskesbTaXQlWZEXLQ7sKxai1TfaC4S\nKBZzESAxkm6xoqxcjWWFucght7RiWbN+cmFqmu9ckJWUKOB8Ma9OldPpxJdQAKbrejzvvaioiLvu\nugur1YrD4eCyyy7jyJEjmQ5VIA2BN14DoOj9Vy/wSPLDstYspg4f2LPAI5kbfEGNx347iCzB9mtm\nvhJiGBqndv8Ke+sLiIqP8qabqFt9zzmtoZqOy5Y7+dQNFXgCOg/s6OXAycyRxpI2F47qIkaOTeDp\nM7fb49uFgMDaGTpVABUtN1NU3IZ3eD+jvTtnfJyZcpnrahotLRz07y00BD7HSJLExMQE/f39HD58\nmCuuMBUwe3t7kdOk+OTDyy+/zJe//OW07z3wwAPcfvvt3H333dx9991JfavmG6mkFLmmFrmqetqI\nk2izzdiQtKxYjbJiVdJrZkRjTTT6MfsFu3TpZFMRLJaskbUYck2dWds0D6SkDyXOa4JTJYhiatrZ\n5Jvxf+aTlkg8cnlujdypJDmrU3v9SHKGFDcRubYOy4rVptNbVZ2UwqUsX5k2UjUnJDhruUaJZ39O\nMf2/MyDX1uVUuyM3teR0bYvRgIVYkj1N1FJVhWXdRTNu5DvXiEV2lJbWJPEVwWo1n3PTRShtRfFr\nc6rTtViY1xFt3LiRnTtNw2fPnj20t0/2Uerq6orL1Kqqyu7du1m9enWmQxWYgjY+RmjvO0hVNebD\n6jxCrqpBqqom3HE4RXnmfMMwDB57dYhRn8ZH3ldGXVlucstTCfvP0vPuD1C1NzEidupW/gXlzTed\nE5W/fLhuXTGf+0AVIVXnn395hv/3yiDjvtTCZ0EQaLraXJ3u+m0vA4F++sKnWGJbjkvK3jw1E4Ig\nUbvik0gWN0NdL+AZPLeOuSiIfKT8Y8iCzIsjT+HX5k41qMD0/MVf/AUf/ehHueOOO9i6dStVVVW8\n+OKLfPrTn+bee++d8XEffPBB/uVf/iXj+xd67a8gihnTnOZsxX+eIhTnCjEagcjZwdQni+6TIhpZ\nUJa2I9XWZ6yVO2dMJ3oQq7dZvRap0jTWk95XlHgNlOhwmmlZ6zeaEc6Y02h3oCxbnlSbNxsEWUGq\nrDKjlzm2PJj9SRNSZ+fQuJfKK0yp8mzbVVSiLF+FVJtfqvG0nNvkjwuS2S3vZeHGG2/kzTff5GMf\nM2shHnrooaT+Hx/+8IfZtm0biqJw6623smTJue9Bc74S+O2vQdMouua68zL9xbrhYvy/eYHwvnex\nXXr5Qg9nxrz0zji/P+JlSa2VD16Sf2GxYeiM9b3JUPcLGHqE8EgbpXVbcFY0Zt95gbhilYvaMoV/\ne+ksr+2b4M1DHm7YUMyWS0tw2CYf3K5aO9XryxjYO0LHb7tgLWxwXDLr88sWN/Wr7+X0vofp7/gZ\nkuLAXjJ36j3ZqFAq2Vx8M6+MvcCvx37FreXbz9m538t84AMf4KKLLmJ0dDQuoe5wOHjggQd43/ve\nN+Pjbty4kRtvvJEdO3akvJdY+zs4OMjWrVu5/fbbZ3yu9yrilMiGpaKCzAnEiw+luRWjvjGt6EF6\nor/JaeqPpkO0O+a9kD4XcrEpBIs1t4hKgiMqiCLKitUIijzn6VjzFbnMyCJwQOas7OM8tCEXK/Pq\nVAmCwD/+4z8mvdbaOtmb5t57753VCuN7FW1okOAf3kKsqMS6KXsD1cWI9eJL8b/8IsE//v68dap+\n884YP9s5TLFD4m+21CBL+T2YIqFx+o/uwD92FFF24Ou+Gt3fRs2fnaP0hVnQVmPjgbsa2Xlggl/9\nYZQXd43xxsEJPn1DJZcsm1zJb7yiGk+/D064WStdwYqb56ZJq81ZT+3KT9F78BF6Dz5C3arP4Cg9\nd82vL3ddw0HfXvb6drHGvoFlRedXtPh8pbq6murqSZGTa665Jud9n3zySR599NGk1x566CFuueUW\n/vjHP6bdJ1b7+5nPfIZIJMLdd9/N2rVrk7IuCrw3yN2hMmu+DC2Sqmp2HhJT4ZsrZiIosiiJpYIW\nHJICCcyrU1VgfvD9+nnQdRw3fzC3kO4iRCotQ1m2HPXoESID/cjV06vXLCbGfBF+vnOYt454KbZL\nfG1rHaXO/G4l32gH/Ud+ihbx4ShbSXjwGsLDIZqurkRSFlfKXyZkSeD69cVctdrFy++O8/TvR/n+\ncwP82cUh7riqDFEQEGUR7zVn8L8o0ti5nFPWs7Rsrp2TgmVHaTt1qz7NmUOP0nfwP6hZ8UlcFedG\nBVMSJD5Sfif/1v+vPDvyBH9Zcz92aeFXmAtkZuvWrWzdujWvfRJrf61Wa7z2N5tTVVm5wOlbi5Bx\n96QxravqhT9H1XPzLFqoeQpvWI3m9WJrbV702TALMUcRWx0+/yi25mas58G1PN0c+UftqHoQ0WbD\ndR58lsVMwak6z1B7ugnvecfsRXGe9KbKhO19V6AePULwd6/jvP1jCz2caTEMg66BEDv3e3jzsIdw\nxGBJjZW//GA1lcW5pzEYhs5wz8uM9LyCIIhULvkoFmUTB189ga3EQtXa6ZvrLkYsssgHLyllQ5uD\n//Orfl7cNcaoN8Jnb65CE8K8EXkF4SqJm/60ncEDo6helSW3NM6J8+gsW0nd6nvoO/Rjzhx+jEjb\nFkrqrjonRkCNpY5ri2/mt+Mv8vTwz9heeU/ODY0LnB90dXXxpS99iWeeeYZIJMLu3bu57bbbsu43\nOOjJus17jdDEZBuEstLSwhzlQGWla+HmSSgCVxHeocXdPmIh58hoXUlYFGGRX8vZ5kgdC6BPBBDC\nBsFF/lnmi7lyzAtO1XmEoev4nnkSAMeWWxel8kk+WNasQywrJ7jrj9hv/mDWHgcLgWEY7Drm47k/\njtE9YPZcKnfJbHlfCVevdueV8qepPs50/BT/aAeKrYzaFXdjsddxaEcXGNB0dQ3iLKV4F5L6cgv/\n82P1/Muz/fz+iBd/SGfN1e/g071cU3kTq7e20fniKca6vRx5qpv2LU0o9tk/ghyl7TSu/0t6DzzC\n4IlfEfIPULXkVkRx/h9vV7ivpTt0jM7gYV4bf4nrS/5s3s9ZYP4p1P7OPXJDE5HTPYDZy8t3PhVV\nFSiQhvPdBkthEdSJne8Ixrlu9jIL3usrW4E3Xsf3q19i3bAJ1yc+vdDDmRMCv9uJ79knKbruJhy3\nbFno4SQx4onwf399loM9AQRg4xIH16x1sa7Fjphn+lrA02NGUkJj2EtXULv84wiCjeO/7mX0+ASV\nq0povWHx11LlQkjV+f5z/XSMd1N33VO4xRK+UP8VrKIVXTPofrWPocNjWIsttH+4iaLS9A0J80UN\njtJ36MeEfL3YXE3UrvgEim3+m/35NR//d+B7jEaG+XDZHWx0zlw04ULkgk/zSsN7/bcqHYZhYAQD\nCFYbVdXFhTnKgQWNVJ0nFOYoO1kjVadOog8NIjicGRvoXujM1e+U9M1vfvObc3Kkc4Df/95d2lKP\nd+LZ8TiCrQj3PZ8zu5VfAMg1tYR2vY16vBPrxZfNqAP6fHC0N8BDv+jj9LDKuhY7X7q1hhs2FFNT\naskrtcwwNEZPv0Z/x8/RI0Ec7s2I4esY6fTTs/MMvoEArno7bTc3IOYpdLFYkSWB5W0ROkofxxDD\n9L11Mza1nOYqK5IkUNLmAsNg7ISH4Y5xHFU2bMWzl8GV5CLcVZtQQ6P4R48wMbAL2eLG4qid13RA\nRbSw1LaC/f53OOTfR52lgXIldxnlCx2H48J4VuXDe/m3KhOCICAoCoIg4HBYC3OUA4V5yk5hjrKT\nbY5EhwND01DyUri8sJir36mCU7UIMQwD7Ww/kdOniPSdJvTOLrzPPgm6jvuue5DrGhZ6iHOGEG0k\nGD6wF8PrwRptDLyQ/PGol+/9aoBwxOATmyv45LXluIryf9DEolMTZ3cjCA4CJ69n9EgjE6f8+M8G\nMQyo3lBG6/X15404RS6MRob5ydD/R0AYZ3n4JroOtLH7uJ/fH/Fgs4g0VlopaXJicSmMHvcwdGQM\nXTNw1dpnLWAhiBLO8jVYbOV4Rw/jHdpLYPwENmcDsmX+IiZ2yUGzdQn7/Ls55N/H0qLluKTF0Whx\noSk4VQWmUjCEc6MwT9kpzFF2ss2RIEpIxSXvWYcK5u53qpD+t8gIHz6A7/ln0M4OJL0u2O04t30c\n65qFdzrmGkPXGfs/30brPY3zY3dhWyCZeMMw+PW74/zs9WGsFoG/2VLDmub8+0AEvb2Mnn5tsjGt\nupzxw5sQpSIqV5fiqrNjdVuwlVkvmOhUjM7AEZ4afpyA7uca941sLr4ZT0DnmbdHeH3/BBENaksV\nPn5NOevbHHj7/Rx/6TShCRVrsYWGy6soW+qeE3VANTjM2ePP4Bs5DAg4K9ZS1rAZm2v++pkc9u9n\nx9CjOEQH91b/NWVKxbyd63yhkP5XYCqFlK3cKMxTdgpzlJ3CHGVnrn6nCk7VIsGIqPiefYrg278D\nUcSyZj1yXT2C1YrocmNZuebcdQpfALShQca+988YagTnbXdgveSycyrjGlJ1/vO1IXYe8FDskPjy\nrbW0VOW+cqGpfrzD+5kY2EVgogsAi70O/6lL8PaU4aqzs+QDDVicc9vwcLHg1/y8MvY87/j+gIjE\nn5XdysXO5P5jw54Iv3p7lNcPTGAYcGm7g7uvq8AhC5x++yxn941g6GAtsVC7sZyKFSWI8uwieIZh\n4Bs9zPDJ3xDyngbA6myguPoSXJUbkJS5l0H/o+dNXhx9imKplE9V3feed6wKTlWBqRSMvNwozFN2\nCnOUncIcZee8cKoMw+Cb3/wmHR0dWCwWHnzwQRobG+PvP/HEE+zYsQNFUbjvvvvYvHnztMe7UC8K\nbXgIz+M/JnLqJFJtPa6P341cU7fQwzrnhDs78PzkEYxAAKm2Huv6i5CbWpBr6+ZNGdAwDPZ2+fnp\nzmH6R1Waqyz87UdqKXdNHwY39AhBby/+sWP4RzsITHQDOgD2kmUUuS7n9E4boXGV8uXFtN5Qd14r\n+2VCN3T2+Xbzm7Hn8eteqpVaPlq+nVpLZtGN00Mh/t8rQ3T2BXEViXzq+koubXcSHAtzZtcgQ0fG\nMXQDi1Oh/rJKKlaUzDpyZRgG/rGjjJ15C9/wIcAAQcResgxn+RocpctRbGWzOkci/z3+Cq+O/xdF\nop0PlW1lVdG6Rd/rZb5YzE6V1+vl/vvvx+fzoaoqX/va19iwYUPSNvn+TsGF+1s1VxSMvNwozFN2\nCnOUncIcZee8cKpefvllXn31VR566CH27t3Lj370Ix5++GEAhoaG+MxnPsPTTz9NMBhk+/btPPXU\nUyhK5pX88/Wi0AN+tKEhCIfAYjU7issy+vgY4f17Cbz1BqhhrBsvwXn7xy7oiFQ2tOEhfP/1K8L7\n94Kux18XnC6UtiVYVq3FsnrdrAQtQqpOz2CYQz0B3u7w0DusIghw00XFbLuyDMuU6IhhGKjBEULe\n0wS9pwh6egh6TmHoamx02FxNOMtXYbWvZeSITv+7Ixi6Qd0lFdRfVnXBGdSGYdAdOs4rYy/QG+5B\nESxcU3wjl7uuQRKyN6TWDYPfvDvOL94YQdUMLlpi55ObK6gsVgh7VfrfHWZg3wiGZmCvsNF8TQ2u\n+rmJKkVC40wMvotncE88egWg2MqxuZqxOuuw2Kuw2CqQbaWI4syii7u9b/PiyNNoRCiXK1lWtJIy\nuYIisQhJkLEIVtxyMeVyZU5zdr6ymJ2q73//+xQXF3P33XfT1dXFl7/8ZZ566qn4+zP5nYLz97fq\nXFEw8nKjME/ZKcxRdgpzlJ3zok/V7t27ueqqqwBYv349Bw4ciL+3b98+Nm3ahCzLOJ1OWlpa6Ojo\nYM2aNfM5pHnHMAwMjwe1pwu1swO1swNt8Oy0+4juYuy334l14yUXnPGdL1J5Be5P3oPu86IeP0ak\n9xRa/xkivacI79tDeN8eDEkmVN/GmKuWMcnFqOBgWHIzbi0FWcEiC1hkAUkUMAA1ohMMhfEHQnj8\nQXyBELKgUiSEcUshLm5X2LTCRXmxh8DQCbwRP5rqJRIaI+wfJuwfwDCSizxFqRLF0oBgNILaQLhP\n4fT+EMHRQQAsToXma2spbV28BmUuGIZByAgR1AME9QAT2jh94VMc9u9nQO0DYJV9PTeVbKFEzr1x\nsSgIfGBjCRta7fzHy4O8e9yPN3CW//mxeixOhaaraqjZUM6p3w8wfGScjl/1sOm+FXNyf8jWYsoa\nNlPWsBk1OIJv5DC+0SMEJrrxDL6DZ/CdpO0lixvFVhb9U27+bS1DsZUgWdwZna5Nzstotraxc/w3\nHA7s523Pf6fdThEsNFlbWWpbQZttGZVKdUoTYdVQCetmnzSLaEURLsw00nPNZz7zGSzRRaxIJILV\nmpzye6H+ThUoUKBAgblnXp0qr9eLyzVpVMqyjK7riKKY8p7dbsfjWbyek0QvTQAAIABJREFUdKSv\nF/9vXsSIqGAYoGkYkQhGJAJaBHQdQ1Ux/D6MUCi+n2C1orSvQKqqQbBaMcJhjGAAIhEEux2ldQmW\nVWsQlPdudArAMHT6O35OODCAoUfMP4YGZQaUC7C6CMEoQvWF0L0BLFoXdr0Lh2FQDyAIGAJEkNAM\nAXQQRANBMsACQpYgR/gMnDmTblwierAYLViP5i9H85cT8VeAnvh9BYAAoiLibnRQtqyY8uXF57Wi\nn27o/L+BH9IbPoWOlvK+iMiKorVc6b6WBmvzjM9TU2rh69vq2HPCj82SPF8Wl8KSmxqo2VCO6o/M\ny4KDYiujpO4KSuquwDB01MAQIX8/Yf9Z1OAwanAENThCcKKH4ER32mOIkg1RLjL/lmQEQQZBRBBE\nQOCGqovYUn8HA2ofY5ERQnqIiKESMkKMRobpDZ/ieLCD48EOAGRBxi2VIAsKqhHGr/kIGcGkc1oF\nG1vKtrHGsSHNiAqk48knn+TRRx9Neu2hhx5izZo1DA4O8nd/93f8/d//fdL759vvVIECBQoUWDjm\n1alyOp34fL74/2MOVew9r9cbf8/n8+F2u6c93oKmkVSugPXvzaZo54qqqs8t9BAKJPC1qv9xzs51\nU1Xme//c3vfFwJJ5OXI989+IuEBmtm7dytatW1Ne7+jo4P777+erX/0qF198cdJ7M/mdgsWd8rhY\nKMxRbhTmKTuFOcpOYY7ODfO6lL5x40Z27twJwJ49e2hvb4+/t27dOnbv3k04HMbj8XDixAmWLVs2\nn8MpUKBAgQIF4hw7doy//du/5Tvf+Q5XXnllyvuF36kCBQoUKJAr50z9D8xUi507d9Lc3My1117L\nL37xC3bs2IFhGHz+85/nhhtumK+hFChQoECBAkn85V/+JR0dHdTX12MYBm63mx/+8If8+Mc/LvxO\nFShQoECBvDiv+lQVKFCgQIECBQoUKFCgwGLj/K2kL1CgQIECBQoUKFCgQIFFQMGpKlCgQIECBQoU\nKFCgQIFZUHCqChQoUKBAgQIFChQoUGAWFJyqAgUKFChQoECBAgUKFJgF89qnarZ4vV7uv/9+fD4f\nqqryta99jQ0bkptdPvHEE+zYsQNFUbjvvvvYvHnzwgx2Ci+//DIvvfQS3/3ud1Pee+CBB/j/2bvv\n8KjKtH/g3zM9yUwKSWgBQ+goZQVlVYqAsAuIBQFpgoVVcXXXFVSMspRdMVheX12VXfRlFwHXqBSx\n/VDRiBqkRTpJCJBAep1kej3P749JhpnJ1OQkM0nuz3V5GeaUueeZMzPPfZ52/PhxxMQ4VqTdtGkT\nlEple4folb+4I7GszWYznnnmGdTW1kKpVGLjxo1ISEhw2+exxx5DQ0MDJBIJFAoF3n333bDE6job\npkwmw4YNG9C3b1/n9kgsXyBw3JF8PZ88eRKvvfYatm/f7vb4999/j02bNkEikWDOnDmYN29emCL0\nzlfcW7duxc6dO9GtWzcAwN/+9jf069cvDBG6s9lseP7551FaWgqr1Yrly5djypQpzu2RXt5CCPQ5\n6Upcr98rV67gueeeg0gkwqBBg7B27VoAwNtvv40DBw5AIpEgPT0dI0eO9LlvZ+LtszJw4EAqIxc8\nz2P16tUoLCyESCTC+vXrIZPJqIy8qK2txZw5c/Cf//wHYrGYysjD7NmznQu49+nTB/Pnz8eGDRsg\nkUhwyy234IknnvD53X3ixAm89NJLbvsGxCLYP/7xD/b+++8zxhi7dOkSmz17ttv26upqNmvWLGa1\nWplWq2WzZs1iFoslHKG6efHFF9mMGTPYihUrvG5fuHAhU6vV7RxVYP7ijtSy/s9//sPeeustxhhj\nX375JXvxxReb7TNz5sz2Dsurb775hj333HOMMcZOnDjBHnvsMee2SC1fxvzHzVjkXs/vvfcemzVr\nFps/f77b41arlU2bNo1ptVpmsVjYnDlzWE1NTZiibM5X3Iwx9vTTT7OzZ8+GISr/du3axV566SXG\nGGNqtZpNmjTJuS3Sy1sogT4nXYXn9bt8+XJ29OhRxhhja9asYd9++y07e/Ysu//++xljjJWVlbE5\nc+b43Lezcf2s1NfXs0mTJlEZefj222/Z888/zxhj7PDhw+yxxx6jMvLCarWyxx9/nP3+979nly5d\nojLyYDabm+UNd911FysuLmaMMfbwww+zc+fO+fzu9rZvIBHd/e/BBx/EggULADju7sjlcrftp06d\nwpgxYyCRSKBUKtGvXz/nmljhNHr0aKxbt87rNsYYLl++jDVr1mDhwoXYtWtX+wbnh7+4I7Wsc3Jy\nMHHiRADAxIkT8csvv7htr62thUajwfLly7F48WL88MMPYYjSIScnBxMmTAAAjBo1CmfOnHFui9Ty\nBfzHHcnXc2pqKt55551mj1+8eBGpqalQKpWQSqUYM2YMjh07FoYIvfMVNwCcPXsWmzdvxqJFi8LW\n4urNjBkz8OSTTwJwXBMSydVOEJFe3kLx9znpSjyv37Nnz+KGG24A4PiOPnjwIHJycjBu3DgAQK9e\nvcDzPOrq6prt6/l93hm4flZ4nodYLMa5c+eojFxMnToVf//73wEAZWVliIuLozLy4uWXX8bChQvR\nvXt3MMaojDzk5eXBYDBg2bJleOCBB3Ds2DFYrVb06dMHADB+/HhnGbl+d589exY6na7ZvsGUUcR0\n/9u5cyfef/99t8cyMjIwfPhwVFdX49lnn8ULL7zgtl2n0zmb9QAgOjoaWq22XeIFfMc8Y8YMHDly\nxOsxBoMBS5YswYMPPgibzYalS5dixIgRGDx4cHuEDKBlcYe7rAHvcSclJTm7msXExECn07ltt1qt\nWLZsGZYuXYr6+nosXLgQI0eOdHafak+eZSiRSMDzPEQiUUSUry/+4o6E69mXadOmobS0tNnjnq8n\nJiYmYsoa8B03ANx+++1YvHgxlEolHn/8cRw4cAC33nprO0fYXFRUFABH2T755JN46qmnnNsivbyF\n4u9z0pV4Xr/MZSnMpvder9cjPj7e7XHP7+7Oep14+6y8/PLLzu1URg4ikQjPPfcc9u/fjzfffBPZ\n2dnObVRGwO7du5GYmIhx48bhX//6FwBHkt6EyghQKBRYtmwZ5s2bh6KiIjz88MOIjY11bo+JiUFx\ncTH0er3bd7dYLIZer3cbxhATE4OSkpKAzxkxSdXcuXMxd+7cZo/n5+fj6aefxqpVq5xZdROlUul2\ncej1ercCa2u+YvYnKioKS5YsgVwuh1wux0033YS8vLx2rYS2JO5wlzXgPe4//elP0Ov1zphcPxiA\nI+maP38+RCIRunXrhmHDhqGwsDAsSZVSqXTGCsCtwhUJ5euLv7gj4XoOVSSXdSD333+/84v+1ltv\nxblz5yIiqQKA8vJyPPHEE7jvvvswc+ZM5+MdubxD4e9z0pW5loFer0dcXJzXa0KlUjXbtzNeJ4D7\nZ+X222/Hq6++6txGZXTVxo0bUVtbi7lz58JsNjsfpzJyJFUcxyE7Oxv5+flYtWoV1Gq1czuVEdCv\nXz+kpqY6/1apVGhoaHBubyojs9nc7Lu7pb9bEf2Nf+HCBfzlL3/Ba6+9hvHjxzfbPnLkSOTk5MBi\nsUCr1eLSpUsYNGhQGCINXmFhIRYtWgTGGKxWK3JycnDdddeFO6yAIrWsR48ejQMHDgAADhw40Czx\nPnjwIP7yl78AcHwoLly4gAEDBrR7nIB7rCdOnHBLPCK1fAH/cXeE69n1TjkADBgwAJcvX4ZGo4HF\nYsHRo0ebTYATCTzj1ul0mDVrFoxGIxhjOHToUMSUdU1NDZYtW4ZnnnkGs2fPdtvWUcq7tfx9Trqy\na6+9FkePHgUA/PjjjxgzZgyuv/56ZGdngzGGsrIy8DyPhIQEDBs2rNm+nY23z4q3192Vy2jv3r3O\n7s1yuRwikQjDhw939qShMgJ27NiB7du3Y/v27Rg6dCheeeUVTJgwga4jF7t27cLGjRsBAJWVlTAa\njYiKikJxcTEYY/j555+dZeT53R0TEwOZTNZs30AipqXKm9dffx0WiwUbNmwAYwyxsbF45513sHXr\nVqSmpmLy5MlYsmSJs1K3YsUKyGSycIftlWvMd955J+bNmwepVIrZs2eHrZIfjEgv64ULF2LVqlVY\ntGgRZDKZc9bCV199FdOnT8fEiRORnZ3tbK1asWKFW1N4e5o2bRqys7Od4wQzMjIivnyBwHFH+vXM\ncRwA4IsvvoDRaMS8efOQnp6Ohx56CIwxzJs3D927dw9zlM15i3vFihXOlsGbb77ZOZ4w3DZv3gyN\nRoNNmzbhnXfeAcdxuPfeeztUebeWt88JAVatWoW//vWvsFqtGDBgAKZPnw6O4zBmzBjMnz8fjDHn\nzGPe9u1svH1WXnjhBbz44otURo1+97vfIT09Hffddx9sNhtWr16N/v37Y/Xq1VRGftBnzd3cuXOR\nnp6ORYsWQSQSISMjAyKRCE8//TR4nse4ceMwcuRIjBgxwut397p165rtGwjHPG+HEkIIIYQQQggJ\nWkR3/yOEEEIIIYSQSEdJFSGEEEIIIYS0AiVVhBBCCCGEENIKlFQRQgghhBBCSCtQUkUIIYQQQggh\nrUBJFSGEEEIIIYS0AiVVhBBCCCGEENIKlFQRQgghhBBCSCtQUkUIIYQQQgghrUBJFSGEEEIIIYS0\nAiVVhBBCCCGEENIKlFQRQgghhBBCSCtQUkUIIYQQQgghrUBJFSGEEEIIIYS0AiVVhESYr7/+GkuW\nLAl3GIQQQohX9DtFSHOUVBESgTiOC3cIhBBCiE/0O0WIO0m4AyCkKzEYDEhPT8eVK1fAcRyGDx+O\n9evX4x//+Ae++OILJCQk4Jprrgl3mIQQQroo+p0ipGWopYqQdvTtt9/CYDBgz5492LlzJwBg+/bt\n2L9/Pz777DNkZmZCp9OFOUpCCCFdFf1OEdIylFQR0o7GjBmDCxcuYMmSJXj33XexdOlSXLlyBdOm\nTUNUVBREIhHmzJkT7jAJIYR0UfQ7RUjLUFJFSDvq06cPvvnmGyxfvhx6vR4PPPAADh48CMaYcx+x\nWBzGCAkhhHRl9DtFSMtQUkVIO/rwww/x3HPPYdy4cVi5ciUmTJgApVKJffv2QavVgud57N27N9xh\nEkII6aLod4qQlqGJKghpR3fffTeOHj2KmTNnQqFQICUlBVu2bEFmZibmzJmDuLg4DB06FGq1Otyh\nEkII6YLod4qQluGYa3tuO7NYLEhPT0dJSQmUSiXWrl1LM8oQQghpN4wxrFu3Dvn5+ZDJZNiwYQP6\n9u3r3L5lyxZ8+eWXEIvFePTRRzF16tQwRksIISRShbWl6pNPPkFMTAw++ugjFBYWYv369diyZUs4\nQyKEENKF7N+/HxaLBZmZmTh58iQyMjKwadMmAIBWq8WOHTuwf/9+6PV63H333ZRUEUII8SqsY6ou\nXLiAiRMnAgDS0tJw6dKlcIZDCCGki8nJycGECRMAAKNGjcKZM2ec26KiopCSkgK9Xg+DwQCRiIYh\nE0II8S6sLVXDhg3DDz/8gKlTp+LEiROoqqoCY4xW6SaEENIudDodVCqV898SiQQ8zzsTqB49emDm\nzJlgjOGRRx4JV5iEEEIiXFiTqjlz5uDixYtYvHgxRo8ejeuuu85vQlVdrW3H6AghhLRWcrIq8E5h\npFQqodfrnf92Tah+/PFH1NTUICsrC4wxLFu2DKNHj8aIESN8no9uDBJCSNcU1qTq9OnTuPnmm5Ge\nno4zZ86grKwsnOEQQgjpYkaPHo2srCxMnz4dJ06cwODBg53bYmNjoVAoIJVKAQAqlQparf+bexzH\n0Q3AAJKTVVRGQaByCozKKDAqo8CEuvkX1qQqNTUVb775Jv71r38hNjYWGzZsCGc4hBBCuphp06Yh\nOzsbCxYsAABkZGRg69atSE1NxeTJk/HLL7/g3nvvhUgkwpgxY3DLLbeEOWJCCCGRKKxTqoeKMm1C\nCOlYIr37X1ug3yr/6M55cKicAqMyCozKKDChfqdoKqMuoAPlzYQQQgghhHQ4lFR1YjY7w87sOjz6\ndiE+PFADm52SK0IIIYQQQoQW1jFVpO1crjLj3X1VKK6xgAPw/3IakFtiwuMze6BHgjTc4RFCCCGE\nENJphLWlymazYeXKlViwYAHuu+8+FBYWhjOcTuNShQnr/luC4hoLJo1Q4Y1HUjH+WhWKKs34645i\n5Jcawx0iIYQQQgghnUZYk6oDBw6A53lkZmbij3/8I/73f/83nOF0CowxfPRjLew88MSsHnhoWnck\nKCV4ZHp3PDq9Oyw2hre/qES9zhbuUAkhhBBCCOkUwppU9evXD3a7HYwxaLVa51ogpOXOXDYit8SE\nkf2iMXaw0m3buGtVWDAxEQ16O976opLGWBFCCCGEECKAsI6piomJQUlJCaZPn476+nps3rw5nOF0\neDxj+CS7DgAwb3w3r/v8fnQcLlaYcThfhw8P1GLJlKT2DJEQQiIKYwzr1q1Dfn4+ZDIZNmzYgL59\n+wIA8vLysGHDBnAcB8YYTp48iU2bNmH8+PFhjpoQQkikCWtStXXrVkyYMAFPPfUUKisrsXTpUnz+\n+eeQyWThDKvDOlagR1GlGTcNUSK1u9zrPhzHYdm0ZJTUmPHtiQb0SZJh8sjYdo6UEEIiw/79+2Gx\nWJCZmYmTJ08iIyMDmzZtAgAMHToU27dvBwDs27cPPXr0oISKECIovckOAIhRiMMcCWmtsHb/i4uL\ng1Lp6KKmUqlgs9nA83w4Q+qw7Lxj+nSxCJhzi/dWqiYKmQh/ubMXVFEibP2uGjkX9O0UJSGERJac\nnBxMmDABADBq1CicOXOm2T5GoxFvvfUWVq9e3d7hEUI6uVNFBpwqMoQ7DCKAsCZV999/P86ePYvF\nixfjwQcfxMqVK6FQKMIZUod1MFeLCrUVtw6PDWrK9B4JUqyc3QsyCYdNX1bSjICEkC5Jp9NBpVI5\n/y2RSJrd3Nu5cydmzJiB+Pj49g6PEEJIBxHW7n/R0dF44403whlCp2DnGfYeUkMsAu74bULQx/Xv\nqcCf7uiJ//20HP/7aQVWz++NPkneuw0SQkhnpFQqoddfba3neR4ikfv9xs8//xxvvfVW0OdMTlYF\n3qmLozIKDpVTYB29jGJLHbMxt+Xr6Ohl1FHQ4r+dwC95OlQ12DBlZCwSVaG9pSP7ReMPv+uOzfuq\n8OqucqxekILkOJqFkRDSNYwePRpZWVmYPn06Tpw4gcGDB7tt1+l0sFqt6NGjR9DnrK7WCh1mp5Kc\nrKIyCgKVU2CdoYw0WkdPoerqtqmSd4YyamtCJZ1h7f5HWs+1lWrW2JZ1TRl3rQqLbk2EWm/HK7vK\noTHQGlaEkI6npKQEP/zwA+x2O4qLi4M6Ztq0aZDJZFiwYAE2btyI9PR0bN26FVlZWQCAwsJCpKSk\ntGXYhBBCOoGwtlTt2bMHu3fvBsdxMJvNyMvLQ3Z2tnPyChLYoTwdKuutmDwiFkmxLW9hmj4mHhqD\nHV8crcdru8uxen4KZFLKuQkhHcNXX32Ff/7znzAajfjoo4+wYMECPPvss7jrrrv8HsdxHNavX+/2\nWFpamvPvESNG4O23326TmAkhhHQeYa01z549G9u3b8e2bdtw3XXXYfXq1ZRQhcDOM3x2uHWtVK7m\nje+GCdepUFRlwa6DdQJESAgh7eO9997Dhx9+CKVSicTEROzZswfvvvtuuMMihBDSRUREU8Tp06dx\n4cIFzJs3L9yhdCh7D6lRrrZiwnUqQcZBcRyHpVOS0CNein05DThPMwISQjoIkUjkdlOue/fuzSac\nIIQQQtpKRPzivPvuu3jiiSfCHUaHUlBmwt7DaiSqJJg/IVGw88qlIjz8+2QAwHtfV8NspXXDCCGR\nb9CgQdixYwdsNhtyc3Px17/+FUOHDg13WIQQQrqIsCdVWq0WhYWFGDt2bLhD6TAMZjv++VUlAGD5\njO6Cr8I9OCUKvx8Th8p6K3ZmUzdAQkjkW7NmDSorKyGXy/H8889DqVRi7dq14Q6LEEJIFxH2KdWP\nHj2Km2++OdxhdBiMMWz7rgY1Ghvu/G0ChvSJapPnmXtLN5y4ZMA3vzZgwnUqXJNM61cRQiJXdHQ0\nVq5ciZUrV4Y7FEIIIV1Q2JOqwsJC9O3bN9xhdBifHlLjYJ4O/XvKcfdNwS/0GyqZVIT7JiXhtT3l\n2JldhxV392qz5yKEkNYaOnQoOI5zeyw5ORk//vij3+MYY1i3bh3y8/Mhk8mwYcMGt9+kAwcOYNOm\nTeA4Dtdeey3WrFnTJvETQgjp2ARJqh5++GHcc889uO222yCTyUI6dtmyZUKE0CV8c7wBe35RIzlO\ngr/c2RMSMRf4oFYY0S8KQ1IUOHHJgPOlRgxOaZtWMUIIaa28vDzn31arFfv378eJEycCHrd//35Y\nLBZkZmbi5MmTyMjIwKZNmwAAer0er732GrZv3474+Hhs2bIFarUaCQltd0OLEEJIxyTImKqHH34Y\nP/30E6ZPn47169fj1KlTQpyWuDiYq8WOrBrERYvx7JzeiFe2fSMjx3GYN74bAOCTn+vAGGvz5ySE\nkNaSSqWYMWMGDh06FHDfnJwcTJgwAQAwatQonDlzxrnt+PHjGDx4MDZu3IjFixcjMTGREipCCCFe\nCVIzHzt2LMaOHQuTyYR9+/bhz3/+M5RKJebOnYtFixaF3HpF3JXVWfB/31QhWi7CM3N6oUd866dP\nD9bglCiMSovGyUIDTl82YmS/6HZ7bkIICdann37q/JsxhoKCAkgkgX/idDodVCqV898SiQQ8z0Mk\nEkGtVuPw4cP47LPPoFAosHjxYlx//fVITU1tk9dACCGk4xKsuePw4cPYu3cvsrOzMXHiRMycORMH\nDx7EY489hi1btgj1NF0OYwxb91fDZgf+ODM5LBNGzBvfDScLDdj5cy1GpEY1G7dACCHhdvjwYbd/\nJyQk4I033gh4nFKphF6vd/67KaECgPj4eIwYMQLdujla7G+44Qbk5uZSUkUIIaQZQZKqyZMno0+f\nPpgzZw7WrFkDhUIBAPjtb3+LOXPm+D323Xffxffffw+r1YpFixYF3L+r+emsFnklJoweEI0bBikD\nH9AGrkmW46YhShzK1+HXiwaMGRgTljgIIcSXjIyMFh03evRoZGVlYfr06Thx4gQGDx7s3Hbdddeh\noKAA9fX1UCqVOHnyJObPnx/wnMnJqoD7dHVURsGhcgqso5dRbKkNQNu+jo5eRh2FIEnV+++/j5iY\nGCQmJsJkMuHy5ctITU2FSCTCnj17fB535MgRHD9+HJmZmTAYDPj3v/8tRDidhsZgx4c/1kIh5bBk\nSnJYY7nrpgQcztfh00N1GD0gmlqrCCERYcqUKX6/j7777ju/x0+bNg3Z2dlYsGABAEdytnXrVqSm\npmLy5MlYsWIFHnroIXAch5kzZ2LgwIEBY6qu1ob2IrqY5GQVlVEQqJwC6wxlpNEaAQDV1W0zVr4z\nlFFbEyrpFOQd/OGHH7Bnzx7s2bMHtbW1WL58OR544IGAd/R+/vlnDB48GH/84x+h1+vx7LPPChFO\np/HhjzXQm3gsnpSIRFV4Z79PSZTht42tVccvGTB6ALVWEULCb/v27a06nuM4rF+/3u2xtLQ0598z\nZ87EzJkzW/UchBBCOj9Bauoff/wxPv74YwBASkoKdu/ejXvvvTdgUqVWq1FWVobNmzejuLgYjz32\nGPbt2ydESB1ejcaKg+d0uCZZhmm/iQt3OACutlbt+aUO1/en1ipCSPilpKQAACwWCw4cOOAcH2W3\n21FSUoInn3wynOERQgjpIgRJqqxWq9sMf1JpcLPTxcfHY8CAAZBIJEhLS4NcLkddXZ1zUHBX9uMZ\nLRiAadfHQSSKjOQlJVGGsUOUOJyvw4lLBlxPrVWEkAjxxBNPwGg04sqVK7jhhhtw9OhR/OY3vwl3\nWIQQQroIQdapmjp1Ku6//37s2LEDH3zwAR566CFMmTIl4HFjxozBTz/9BACorKyEyWSiNUAA8DzD\nj2c0UMg43DQkPJNT+HLXbxPAAdjzC61bRQiJHIWFhdi2bRumTZuGP/zhD/jkk09QVVUV7rAIIYR0\nEYK0VD3zzDPYt28fjh49ColEgqVLl2Lq1KkBj5s0aRKOHTuGuXPngjGGtWvXUpcyAKeKDKjT2TFl\nZCzkUkHyXsH0SbraWnXsgh43hmlGQkIIcZWYmAiO45CWlob8/HzcfffdsFgs4Q6LtAOt0Y4YhQgi\nqj8QQsJIsNkPBgwYgKSkJGfrxdGjR3HjjTcGPO7pp58WKoROI+u0BgAwaURsmCPx7p5bEnD0vA67\nsuswZkBMxHRPJIR0XYMGDcLf//53LFy4EE8//TSqqqpgtVrDHRZpYzUaKwrKTOgeJ8WAXopwh0MI\n6cIESarWr1+PrKws9O3b1/kYx3HYtm2bEKfvUuq0Npy8ZEC/HnL069H+C/0Go1eCDBOuU+HAGS2y\nc7WYcF1kJn+EkK5j3bp1OH78OAYOHIg//elP+OWXX/A///M/4Q6LNGKMobTWgvgYCYRcIERn5AEA\ntVobBvQS8MSEEBIiQZKq7Oxs7Nu3z7noL2m5n85qwTNg0ojIXqjt7pu7ITtXiz2/qHHTEBWkEmqt\nIoSEz5///GfceeedsFgsuO2223DbbbcFdRxjDOvWrUN+fj5kMhk2bNjgdoPwxRdfxPHjxxET45iY\nZ9OmTVAqqdtzqDQGO4prLKhqsCHtGgFPTD897cpmZxCJQF0tCfFCkAE7ffv2pUkLBMAYw09nNZBJ\nONw8JLKTqkSVBLeNikONxoYDZzThDocQ0sXNnTsX3377LaZNm4bVq1fjyJEjQR23f/9+WCwWZGZm\nYuXKlcjIyHDbfu7cOWzZsgXbtm3Dtm3bKKFqoVqtDQBgtvJhjoQEq6TGgsJKs/PfPGM4dkGPglJT\nGKMiJHIJ0lIVFxeH22+/Hddff73b1OqeP07ezJ49GyqVI4Ho06dcFHiQAAAgAElEQVQPXnrpJSFC\n6pAuVzvu4t00RIkoeWRNUOHNHWMTcOC0Bp8eUmPctSpEySI/ZkJI5zR58mRMnjwZZrMZWVlZ2Lhx\nI9RqNbKysvwel5OTgwkTJgAARo0ahTNnzji3McZw+fJlrFmzBtXV1Zg7dy7mzJnTpq+js2rr+650\nX1d4xTWOhCqtcSiC3e74TNTpbOEMi5CIJUhSNWHCBOePUigsFguNvXJxrMCxaOUNgzrG+k+x0WLM\nvDEeuw+q8cURNeaNTwx3SISQLuzChQv48ssvsW/fPvTq1QtLly4NeIxOp3Pe2AMAiUQCnuchEolg\nMBiwZMkSPPjgg7DZbFi6dClGjBiBwYMHt+XL6JSaeotJxcJ2G6NOaO2HgTJXQvwRJKmaPXs2SkpK\ncOHCBYwfPx7l5eVufdJ9ycvLg8FgwLJly2C32/HUU09h1KhRQoTUIR0r0EEq5jCyX3S4QwnajDHx\n+OGUBvtyGjB5ZCySYoNb+JkQQoR0xx13QCwW484778T777+P7t27B3WcUqmEXq93/rspoQKAqKgo\nLFmyBHK5HHK5HDfddBPy8vICJlXJyZHdfTsc6kxiGO1m5/hbocpIYxVDZxVDJOqc5R7O1xRbanOL\nwWThEVvJhz0uT5EUS0t4lnNb6Ohl1FEIklR99dVX+Oc//wmTyYTMzEwsWLAAzz77LO666y6/xykU\nCixbtgzz5s1DUVERHn74YXz99dfOH7SupLTWgrI6K8YMiIGiA3Wjk0tFmDc+EZv3VeHjn+rwx9t7\nhDskQkgX9Nprr2HIkCEhHzd69GhkZWVh+vTpOHHihFvCVFhYiBUrVuDTTz+FzWZDTk4O7rnnnoDn\nrK7WhhxHZ1dfb4JGa4VExAGIF6yM6uvN0GgdvV46W7knJ6vC+po0WiMAoLraUVU0W/lmj4VbuMtI\nCG1dpp2hjNqaUEmnILX39957Dx9++CFiYmKQmJiIPXv24N133w14XL9+/XDnnXc6/46Pj0d1dbUQ\nIXU4ORc6Vtc/VzcPUyKthxyH8nW4UEYDWAkh7a8lCRUATJs2DTKZDAsWLMDGjRuRnp6OrVu3Iisr\nCwMGDMCdd96JefPmYenSpZg9ezYGDBggcOSERBbGGOx8865+oY5bs9kZiirNMJojf3KS6gYr9CZ7\nuMMgHZwgabFIJHKbEal79+5BtTbt2rUL58+fx9q1a1FZWQm9Xo/kZCFXsOg4jhXoIBYBv+nfcbr+\nNRFxHBbdmogNH5fhgx9q8NeFKTTdKiGkQ+A4DuvXr3d7LC0tzfn3smXLsGzZsvYOi5CwOV9qQr2+\neYIRbE5l5xlsdoY6rQ3lagt0JjuGp0Zu3aZOa8OFcscN4ZuHUjc50nKCJFWDBg3Cjh07YLPZkJub\ni//+978YOnRowOPmzp2L9PR0LFq0CCKRCC+99FKX7PpX3WBFUZUFI/tFIUYhDnc4LTKkTxR+O0SJ\nw/k6/HhGi0kjaEFgQgghDm0+Ox9N/ycYn7P7uRSx2cqD5+F1puLjF/Ww2hl6Jjhmg9aZIrulqlxt\nCXcIpJMQJINZs2YNKisrIZfL8fzzz0OpVGLt2rUBj5NKpXjttdfw3//+Fzt27MBvfvMbIcLpcI41\ndv0bM7Bjr3+ycGIiFFIOH/9UC62RmtEJIe2ntLQUDz74IH73u9+hqqoKS5cuRUlJSbjDimiXKkyo\noAolCRLvkrj+elGPE4X6ZvtYrDysdsd+fGMXwkjvtxIXHRnjw0jHJ0hSFR0djZUrV2LXrl3Ys2cP\nVq1aRQskhuBYgR4cB4wZGLnN48HoppJg9s3doDPx+OTn2nCHQwjpQtasWYNly5YhJiYGycnJmDVr\nFlatWhXusCJaZb3VbXHXjozaqSJDVYM13CEAAAorzc4FpwOjq6dGY4WFFuZuNUGSqqFDh2LYsGFu\n/02cOFGIU3d6ap0NBWUmDE1RILYT3C2Zdn0cUhKlOHBai4vlNGkFIaR9qNVqjB8/HowxcByHe++9\nFzqdLtxhdXg2O3O2OAhB6OprpLeCdCbB9LB0vVRch1Yz5hhn1VYYY9Aa7bDzDFYbQ4XagvOlxjZ7\nvs6kQe+oh565ErnlZbHygn4PAcDFchPqgk68gyNIUpWXl4fc3Fzk5ubi1KlTeP311zFjxoygj6+t\nrcWkSZNQWFgoRDgdytVZ/zpHy55EzOH+25LBAPxnf3WbfokSQkgThUKBiooKcI01uWPHjkEmk4U5\nqsAstsi+O3y0QIdfLzbv5kW6HosttN9z1yTsYrkZRwt0KK1tm+6mlfVWnLlsQEGZye8ixRYbj6Iq\nM6wur6UthuPZ7AyV9Va354lUTe+rOUJbquw8Q85FPU4WGgQ7p9HCo6rBinyBE2/BZ4WQSqWYMWMG\nDh06FNT+NpsNa9euhUKhEDqUDuHoeced1DEDO95U6r4M7ROFW4ercKXagr2H1OEOhxDSBTz33HN4\n9NFHUVRUhLvuugtPP/00XnjhhXCH5VeNxoqcC3pUh9hlqrTWgnOtvKvMQqhJWunmWNDMVt55M7Ej\nTCUuNF8th9UaxzV+pbptups2JQb1Ohs4P+2XhRVmlNdZ2iyOJmV1FlyqMLX583RkWqMdBnPg8ff2\nxs+TScikr42+0gTpb/bpp586/2aMoaCgABJJcKd++eWXsXDhQmzevFmIUDoUjcGOvFITBvaSo5uq\n43f9c7Xo1iScuWzE50fUuH5ANPr37JpJMyGkfYwcORI7d+5EUVER7HY7+vfvH1RLFWMM69atQ35+\nPmQyGTZs2IC+ffs22+eRRx7B1KlTMX/+fMFirqp3VDQr661IjpMGfVxTRY1nrMXLV7R3mtRWk/NF\n2uodTa16/XsocKnShGuS5UhJjPwW05Zq6m7bUZgbk69QW91CZWhMqHW09pVXepMdZy47Wp460zT2\ngtTkDx8+7PbvhIQEvPHGGwGP2717NxITEzFu3Dj861//EiKUDiXngh6MATd2kq5/rqLkIjz8+2Rs\n3FmOd/dV4W/39YFM0vWmyyeEtK309HS/2zMyMvxu379/PywWCzIzM3Hy5ElkZGRg06ZNbvu88cYb\n0Gg0rY61K7HaGKo1VvSMl0Ik6hiVbqOFh1TMQSJufbzqxmnJa7W2oJIqnmfgOER0guItDWFwb51y\nH0fl+D8fIKO22RmuVJvRq5sMUbJW1hOCLL8Gg93vTYkGvQ2ltRYMTolq2fXQ+JL9tZp1ZSFNs98W\nRdhGb4sgSVWgHy1fdu/eDY7jkJ2djby8PKxatQr//Oc/kZiYKERYEe9YgaPr3w2DOk/XP1fXXhON\nqb+Jxf4TGnzycx0WT0oKd0iEkE5m7NixrTo+JycHEyZMAACMGjUKZ86ccdv+9ddfQyQSOfeJKJ41\n2lCPDbRLK5qXCspMaDDYwPNAnyRZRM+vZjTz4DjgxCU9FFIRrh/Q+t9kb6/XYuN93lw8fF4HmUQU\n0UMBvF4Pfq7BYN/zsjoLKuut0BrsGNW/bV5/ndbm1o2VMYbSGgv6Jsudcbq+jHPFju611RoreiWE\n3tLofKZ2yqlqNFY06O3o31Me0Yl5S3SkxFSQpGrKlCle38SmZuHvvvvO63E7duxw/r1kyRL87W9/\n6zIJld5kx7liI/p1l4XU7aOjmT8hEWevGPH1rw3o31PeqZp5CSHhN3v2bOffubm5OHToEMRiMcaN\nG4cBAwYEPF6n00Gluvq9JJFIwPM8RCIRCgoK8MUXX+Af//gH3nnnnZBj4xkDz0OQlg+htXWS0zRW\nou0n4mhd2drszG29JW/jNmx21ur38Eq1GaW1FgzrG4X4GO9Vr3BMWhJs9z2t0Y6yuuZj/3jmOTj/\n6rmCTcrtjS+7LbvkNU1IEKMQOx+r1drQN1nu9zhRC6+vppceqJFWqGnMC8ocsy33TpQhShZ53zfN\nhPEui95kb7PuyIIkVXfccQekUinuvfdeSCQSfP755zh9+jSeeuqpoM/R2TLrQI5fMsDOd55Z/3yR\nS0V48s6eWPffEmz5phq9u8mQ2t3/lxghhITq3//+NzIzM3HbbbfBbrfjsccew6OPPoo5c+b4PU6p\nVEKvv1qpbkqoAMd44aaFhEtLSyGTyZCSkoLx48f7PWdysiNJO5zbAKOZx62j4r3+xsVpACa2ITZG\n4jwmGLGljq5lSckqiFvYtc5mZ4gtt7vF64kxhtgy//v4jLHSDquNISFBjuTkaNQYRLAwx8xvF0oN\n6N9LKUi3QLXZgFizKGCMdp7hSqUJvRJlUMiuVqxNFh6xKvdxL67nuVxpQmGFESP7K9EtNvAN0Kb3\nJj5WAl5kgypajORkFfIq7IhVicHJHOXh6zjP1xBquYfCZmc4nNeA3t3kSOsV1SyWJjGx0ThbqoFY\nKoNnESQlKSFtbH2z2HjobBI0NL4fcfFSWOFIxOQyEcwWRwLh+ZrqLWIYbGJIJFyLXm9ysgpamwRa\nixicyBFTbKX7ddv0mlTRYoiljm3RCpHbseCa75+UFI3kbqHXWZo+23FK/5/t8yUGxKqi3GJtiaZ4\nmUSG/EozhvdTIl55tYrv79y8xIIqHefcj+dZm3fZtXJm1BiuPqc/Fhvf7P1sKaPZjrOlGoCDIOXu\nSZCk6qeffsLu3bud/77//vtxzz33ICUlJehzbNu2TYhQOowjjbP+3Tg4cpv6hdK7mwzLZ/TAG3sr\n8OZnFVi/uA9UUeLABxJCSJA++ugj7N6927nw/OOPP46FCxcGTKpGjx6NrKwsTJ8+HSdOnMDgwYOd\n25555hnn32+//TaSk5MDJlQAUF2tBQBU1jiStcJizvmdZ7byuFRhRmp3GRrqLdAYbGA2MaqrvZ/r\nVJEBcimHISlXK70abWPXpGpxi5Iqm53BYuNdzuO9KsAzFnAfXxoajLDxDNESO6rldqjrTdBoHRXs\nEgAiu0WQ34G8Qq3zb38xltVZcLnKjNMX3AfGW6xXy8HbeXIv6WGx8ThfZMOAXv4nXGIu5aVpDMvx\n3nLQaIyw8wxqqR3V0uaTF3gr5+RklfNaEpLRwuPEJT16JshQq7agts4ApeRqIuVZHvuP+J5psrpa\nDKmEA88YjpzXu7VOSZgVmsaxZTFyMfRmO8QirtlrqlebodFaGreFdk00lVFdneMcHMehukbUrDyb\n/m01i2BsTO6sZhGqq0VQNz4/AJRXiCERc8791WoGsT30aeDr6w3QGOyA3fdnG3C/fquqxC1uYGiK\n92Tj/ws4G/o13sAOdB3VaazQaB0tXYdP21BZb0X/ngr0iG+7XlS1ags0WseEO5eucH6/C6w2799D\nxdVmVDXYMCotOuiWZI3B5vXzLlRiJdjMAQcPHnT+nZWVhZiYzp8stJTWaMfpIgOuSZa1qK9uRzR6\nQAzuvikBNRob3vysImLXQyCEdExxcXFus85GRUUF9Ts0bdo0yGQyLFiwABs3bkR6ejq2bt2KrKws\nwWI7c9kAndEOxhiuVFtQr7ehoNQEjdH/zGDlagv0JrvPBSqD6cLCGEOl2urWtex0kUHQNV88FVWZ\nYQuwUGdrxmu1REdYL6i91DZOb16hbv2aUdbGvns83/w9ZW5/O/5l530vAmznmSMRgaM7W1FlcNOR\nW2w8yuu8vxbPmOwBqh4mi/sOkha22DDnRBXh0dLnrdU4vmsa9MIuiutP0yyAoSqptcBi451JciQQ\npKXqb3/7G1atWoWamhoAQP/+/fHyyy8LcepO6ch5Hew8MG5Y1xpfdPfNCahQW3EoX4e3v6jEk3f2\njMixBoSQjqdv376YP38+br/9dkgkEnz77bdQKpV4++23AQBPPPGE1+M4jsP69evdHktLS2u2n6/j\nPelNduhNdkTL3e9Znr5sQL/ucucNJUMQFYErVa2v9FbV23Cp0gRZrQiDeisQGy0WbL0Xi5VHrdaG\n7vFSZ4uZ1mh3q+D6+obPLzGhVzcZ+iSFfmNRY7BBIuYQLQ++VcNnShXgJ6ipTh0gR/RJa7RDY3Cp\noHay3M5fbszcsyqnkhoL+vVw6VLn8h7kFhsxZmAMahoTP7f9fCiutrgXq8s/imssuCbAuCnXOD1f\njqjVTQ/uF1hJjRkcx0XsNPsiEQfwDLVaG8xWHnJp4AKo09qgMdiDeq8YYzBZmHPKeSFUqK0R0/tJ\nkKRq+PDh+PLLL1FXVweFQoHo6Ob9hclVB3N14ADcNLRzj6fyJOI4PDK9OwxmO04WGvDe11V4dEb3\nFq+zQgghTdLS0pCWlgaLxQKLxYJx48aFJY6jeRpotEb8Jq15K1mD3g5tgNYpV6G25uhNdvAMbhUM\nc2MLlcXG4+wVA347JITfnQBPX1hpRp3OBgZHN2+vMTd+vXs+buMZimvMISdVPGM427jwsWcZ+5td\nr8VC+HnyVVzFNRbYG7OycrXFb+WzNWuPBWK28iisNEPaTjczfSUrnhNyuLaK8Iw5p6MPVp2f/Utr\n3ZMqe4DsuLDS7Da5xMVyM0b0E4d8A9jZUuVxWHGN44aDv6RKb7Lj7BUjBqcofE5qEkiwl5DRzIN3\neTtcX7u3pEpvsiNKJoLJyiNaLgZjzDkJSK9u0oBJWHGNBaW1od0sYgG+iEJbC6x5wdRqbUhODikk\nnwRJqkpLS7F69WqUlpbigw8+wPLly/HSSy+hT58+fo/jeR6rV69GYWEhRCIR1q9fj4EDBwoRUsSq\nqreioMyE666JQoKycy34GwyJmMOf7uiJV3aV45c8HRRSEe6fmkSJFSGkVYJtSWovenPzH/pQGylc\n99cY7LhQbsLg3lfH9XjmL6eKAi+mabY0j8LOs6DGZhWUmaBUiNCrMYFq6qpltrqe0/08wXyzV6qt\nsNp59ElyVH6NFh4KKed1fIlr1zHXWfsAuFUO/XGbzc/Lm3K6yIBouQgDeimcYyQCrbXUVNn0JpSu\nhzwPcCKG0loLlLHC3qAurDBDLXC3rvI6K3onAlKxt9ce3Ov2bLW4UG4KKQbPt8bfs3pLqlwf0XtU\n0E1WHg0GOxJVodXXvE3THqyyOivsPENhhRnXD2hdPZFnDL8WaKFWG3BdapTb59xo5pt9hlxb5jzL\ntUFvc041DwD9eyqgVFw9QGu0B0yqQk2o2kNTd1ghCHJLZ82aNVi2bBmio6ORlJSEWbNmYdWqVQGP\n+/7778FxHD788EM8+eSTeP3114UIJ6IdzHMMFrxlWNdqpXIll4qw4u6euCZZhqzTGry/vybgDxYh\nhPjz/vvvY+zYsRg2bBiGDRuGoUOHYtiwYWGLJ9gKfrDOXjHAbOVRVBV4nEmNn0qCt/EHFivDxXIT\njAG65NRorG7P763i6JkHBXO/7FKlyXkHv6reihOX9Kio9/4a7H5uSvv9FXFtNQnwc6Mz2VHV0Pj8\nzpY23/uX1VlwqsiAK9XBVxgZY87fPd6los8YUKOxobjGghMXdUGfLxht8TtbrbEiv9TktTXBR++/\nkPkag9XENU8KJYkJNiZfLcaMMVwoM3kf8xggq+J5x1hHV3YeuFhu8vv5DVVpjQUavQ16s73ZWHZv\n3wWc25T47tvq9e4fvksVJrdzNE3r7onnGbSNY0p9xllrwZXq4MbQtYa37yMhPxWCJFVqtdo5IxLH\ncbj33nuh0wX+Mpg6dSr+/ve/A3C0dsXFxQkRTsRijOFgrg5SMYcbBnbdpApwrBWxam5vpHZ3JFZb\n91dTYkUIabH3338fn376KXJzc5Gbm4u8vDzk5uaGLR5v32e+vuJa+tXnq1uMr8qN45jmyuosqGqw\notBjYgC3SrGfIMvVFmcXLl+V2mBf4uXGipXPyTn8ncllk85ox5Vqs9f3wWC2O9cHChRXUyVTrbO5\nJT9uMTcmmuVBTvxQWe8YW3w4X4eiSrNbuTPGnOs1mS3BJdHBa5seIZ6TOzTxNaYqlMu9Qm3B0QId\n6rQ2v8lNawQ6/HKVxev1qDfxjUml+2xylypMzpZqDo5r2bMFrLLeikuV7p9TjcElmfdCb7KjQe9e\nDv7qTfU6G0pcWoZCLSar/eqkIkVVZpR5mQzE33dNk5JaC85cNqDWx2cauLqOm9ZoD5hEe5JJWndd\nC1n1FCSpUigUqKiocDbVHzt2DDJZcP2kRSIRnnvuOWzYsAF33HGHEOFErMJKMyrUVoweGIMoucD9\nvjsgVZQYq+b0Rr/uMvxwWov3vq4K2N+ZEEK86d+/P5KSksIdhpP3H+rQvt/aYvC1twpoU0XO3wQW\ngSJv6hbkObCf54NvIWGMOWdba+qmZLbyKKkxOyvufidGcIkyv9SE0loL6nXNm7bOFRuRc1Hf7HFv\nXO9smwN041P46PrkedRll0SpXG1xq0gzuL9HrpN+VDc4WvEi8nfSS0g+J4Bw+Uega6OisTUnv9SI\nnAt6rxXubiF2zWtisvC4UGYKOAuixcY3S5wcj3uPvbLe/f3MLzXi3BX343Wm5p81b8/RhOcZThUZ\ncK7YiNxiI44V6FBQZsLhfJ3PBYQDLabsbavrZ+hCuQlHCxwNJBXqlreeNbXINXUX9ufMZS8zkwa4\n3JOCWD/OLwE/ToIM6klPT8ejjz6KK1eu4K677kJDQwPefPPNoI/fuHEjamtrMW/ePHz11VdQKPyv\nBdFRHcx1XJxdueufJ2WUGM/O6Y3X9pQj+5wOBjOPx2f2gCyIGWcIIaTJ0qVLcccdd2DUqFEQi68m\nIxkZGX6PY4xh3bp1yM/Ph0wmw4YNG9C3b1/n9g8++AB79uyBSCTCgw8+iBkzZgQVTyj1Xm+7FlWZ\nofdS8XLrvtKCykAod2Vd9/WsFHrjWuEVcY61i8rVlqCTgPNlJmdi1zT0o6TGkXTozTyGpEQFPdtc\n02QIgcdC+e/y6Freri1VFhuPep0dyXESRMkcax8pGgfwe/LVkuONv+VGmsYa1euDG+PjSEgt6Jsk\nC+o3tdpLa2VruJa86+tyfTzQtOmul7vVzmAw2xEb7f7aXcdk84w1++z5uwaqW9DVTm+yo7zO6nbe\ncrXF6xI5Tbt4LjEQas8c16ngGxqTk6Zugr7eM8+ubq1pkQm2NdBqY5B6thwFaEgSizi37wiLjYfJ\nwoPj4HWMFs8zXKkRbmyWkLcoBEmqamtrsXPnThQVFcFut6N///5BtVTt3bsXlZWVeOSRRyCXyyES\niZwr2Xc2FhuP7HNaxEaLMSKVZkd0pYwS47m5vfGPzytw/KIBr+4ux1N39wxpulxCSNfW1NshlEXn\nAWD//v2wWCzIzMzEyZMnkZGRgU2bNgFwdG3PzMzE3r17YTQacfvttwefVAUYEO+P1cZ8rrsTCoPZ\n3nwQfwg1CNcWFW+zFnqey2Lj3Wc9a/y7usEa1MRMrl2sarU2XKowOSd5aJpgo7yFd8y9vWyjxXsL\nhCvXiqnOyCNG4fhdyr1ihMHCQyyO8nGkb/6STKNZmCqexmBHcY3Z2aXs5qGqgOPbQp0gwpW3lhdf\nF7xa5+jCxnGc3y5hQPOlBxhzVPDL6qyorLdiSkJMswr/ec/3VOCGvbNXjM3ew6JKc8B1R10TqVAT\nHH/rvnmb/dBmZ7B6tOoFekqZRNTqsjKY7YiThJZaePs8HL/kaEkePSDGLSerqrdCJuXcvx9dDrfa\nGEQihLQoupDd/wRJql599VVMmjQJgwYNCum43/3ud0hPT8d9990Hm82GF154Iehugx3NsQI99GYe\ns26Mp7WZvFDIRHjqrl7YvK8SR87r8ffMUqy4uxeS49puRW9CSOchk8laNANgTk4OJkyYAAAYNWoU\nzpw549yWkJCAvXv3QiQSobq6GnJ54HVYmnhbh8XXj7fnBBGBphC+up9vVfVWXKxoXkkOpf7gOTA9\nEDt/9bW4VpRaWmdx70blOIu/QfzeypfjOGgMdti9dBvzHOcCNL9r7joxhmvFtqmyb7EKu/hovd7m\nd4pwIHCrQb3ehtziwC2LQvKWnHqbAbOJzsQ7ure24OIoV1udkxoUlBqbncLzsyd0Z0lfSfEveVq/\nSxbYXLrj+Rqf50tBaWgJb6WPiV5MjS2qQPCtT6F0Nz1XbMTIftGIUYgdC/Oa+VaN5PNMDi9WmBAX\n7Tt1OXZBB4mIw42Dvb8P3l5yg0G4GTEFSar69u2L9PR0jBo1yq3r3t133+33uKioKLzxxhtChBDx\nsk5pAAC3jogNcySRSyrh8MeZPZCgrMXXvzZg3X9L8Je7emFQ787ZHZQQIpxbbrkFGzduxMSJEyGV\nXr0Zc+ONN/o9TqfTQaW6OgW5RCIBz/POXhMikQgffPAB3nrrLSxZsiToeEJZJaJpX55nMFr45t1n\nAvA2WNxbQgU4BtGHGlezc5ebkNpd3qyyaueZ18Hs/gRdYWOOu+ABdmlGb7L7nMbZW7l5vmTXxKBB\nb0dVgx7X9vXeOiXEyiDeEqoajdXruBGrzTFrY2KsxO0GZKAujZHgfKkJ/XsGf5PCleekEYFyg/Ys\nD4vVdzCuWxqCGF/kyl+CGqzcYkcL26DeCu/Xk9370grldaG1Dhstjhbd00VGtzXJWtIixJjjWvE8\nvyut0Y6kOAlqNI7rwl+rXltrVVJVWVmJHj16ICEhAQBw8uRJt+2BkqquoqzOgvxSx9pUPeKp5cUf\nkYjD4klJ6Jkgxfbva7DxkzI8NC0Z4671ve4KIYScO3cOAHD27FnnYxzHYdu2bX6PUyqV0OuvTlrg\nmlA1Wbx4MebPn48//OEPOHLkCMaOHRswnkDdmlw1VTYKK81+Z//ydZyQUzC7ipGLvI7xqWqwgmfN\n73TbeT8zHPp4jiPng5s2nCHwwHtvzH4quV651Ck9X1/THe1fXSa5cN2jrRbVrdPavFaCS2otUOtt\nqNfb3JIqb1NTGy2tazEQmsXGBzVznCcGLy1RAd5iz8WGWyrngh6jB/gfvuEZittMfWHOdZtuYOhN\nPBJVrFn5M8bAvFwlxTWhjbNrep2e5d6Szy/Q/MaL53i0ao0VZhuPuGj3ISNWG4NEDI/17to24WpV\nUrV8+XLs2bMHGRkZ+Pe//42HHnpIqLg6lR9OO1qpJo+kVnjA2gkAACAASURBVKpg3TYqDslxUmz6\nshKb91WhqMqMBRMTQ+onSwjpOrZv396i40aPHo2srCxMnz4dJ06cwODBg53bCgsL8frrr+Ott96C\nWCyGTCYLatxvrMp7S4YqWgxO0vyOMycCkpNVOFtqQ2wQExDENt5jSkpSQiYVIVYlXPeVOpMIqT0U\nUMjEMDEpbGXeu5FZGJrFWqEBeiTHQO0loYyPk8LOXU3+fJWRL1FyERK7RSO23vc+nEyOc+UmjB6k\ncpZJfLwMFhZ865lUwjnHcZ0rsweMs1tCFNRGxzVh4puXSWvFqqIQFy9FcrISsaWO19StWwySE2Qo\nrgdiVWKIGq8fAKioM3uNuUwD2EVSxKq839hNTlY5zx+sG4aocCxfG9S+IpEwSUViohJxOs6tK11s\nXBR4ke/YExKiEasVpu6QmKhCrMp3q1FiohKx1VdfaKxSAiZ2xHaphg/pulfIRc73NdT3xpPr88ao\nZIjvFtX8dXBAlEwEWYD16gJJSIhGYjdZs+8lHvB5/fmSmKhEbJ17IiQWc16788bHK9BgdiRW8Qkx\nyD7bgB7xMgxLjYHWaIPOaEe3bgrEqkN7PaFo1affNQP//PPPQ06qbDYbnn/+eZSWlsJqtWL58uWY\nMmVKa0KKOBYbj5/OOiaoGD0gJtzhdCgj+0Vj7aIUvLG3Al//2oCSGgsem9kDsdE0gQUhxN2xY8ew\nZcsWGAwGx8KqPI+ysjJ8//33fo+bNm0asrOzsWDBAgCO2QK3bt2K1NRUTJ48GUOGDMH8+fPBcRwm\nTpyIG264IWAsGq33RMRuEXvtxiMWcais1Pg8zpfKKg6nigyBdwyBRmtEflFDi4+XcVJotFbn7H9N\nxMwKTWPXtlhVVMivVaMF4uS83+NON247fd4GjdbaGM/VvwPGLhHBwFhI6+TUqXlotG2zaGlTOYmZ\nFdUxzPnaj5wxQioRwc4z5138swUM3eOlOJLnPckxm7y3OjYprxCH/J7oNWIYDKagyuu6a6Jx9krr\nr9XaGsBkMDtbq7onyKBWG7xOpNKkpoZBo/XfKtY9ThpUK3FVtf9yOnTa4jZWj9nEXmNzmcfFJ4tJ\nhOpqR8Ie6nvjyvPzptEaESu1eT2nRep9BstQ1NTyqKxm0GhbP9lOTS0X9Guvk9mdz1leIYJGY4RG\nY4Scs+LMZd/XnpDzHLQqqXJtUmvJ4mufffYZEhIS8Morr6C+vh6zZ8/udEnVsQI99CYet9MEFS3S\nK0GGdQv74F//rxLHLxnw1+3FeGxmDwz10aedENI1rV69Gg8//DD27NmDJUuW4Mcff8S1114b8DiO\n47B+/Xq3x9LS0px/P/HEEy2aAMMbX+Mi7DzDmcuhV5o0fiqS4dJ0B1ki5ty7+wjQ66bZrG4+uHaH\nDOVXd1RatHPWsWBdFnRxXu+azeCI5l2rLlaYoPJzwzHQeK/jQa7b1eycQb6vHAeMSI1GSY2jy2JL\nMXh253KUD8dx6N1N6nX8XDDTlyujxEElVYHHb7l/JlszvMf12GCTvmA1hDgJTSh45mM2yBYorg4+\nMXN9b1zf8+oA5SYSYjBk07mEOpHnRR6MGTNm4MknnwTQuOhfiNMwRjrGGL493gAOwKTh1PWvpaLk\nIjx5V0/cO74bGgx2ZOwsw55f6kJedZsQ0nkpFArMmTMHY8eORWxsLF588UUcPXo03GEFrSUD0QOt\n8RMO9Y0VZrFH7cIs0LiWUIUyM1+k3vgM9p61v9/EQGtltWRwP8dxQefKHByJS0pS62Z4rlBbmyUu\njDnWNeuT6P3cwUyGEuw7H+zMnM79fb15QdSZXRPnUCevCcTX9Pl23tuoqtCoA8xeGYpQZuZznSTH\n9S33NRNik5Y0CvnSqiymoKAAt912GwDHpBVNfzetP/Ddd9/5PT4qytHaoNPp8OSTT+Kpp55qTTgR\np6DMhIsVZlw/IBo9EmiCitYQcRxmjU3AkD5R2PRlJfb8osaR8zosmZyMa6+hVitCujq5XI76+nqk\npaXh5MmTuPnmm2EwCNs1rrORiDjBZsrqmSBDhdrirHKKPMa/eptivj3ovEyb3tGEWpF3xXGcoJXG\nlschzHnqvbRyMeZIBDyvuSbFQSwU6yu+aLnI7doNtSiDve49p/J3xRhDVYDEQCiea1u1hNZod1uX\nTiYRCTZZSLBcr3lv33NNC3Y79hXueVuVVH399detDqC8vBxPPPEE7rvvPsycObPV54sk/++Yo1/6\nzDHxYY6k8xjUW4EXl/TBxz/X4YdTGmzcWYaxg2Mw++ZuSPFxl4oQ0vk98MADeOqpp/DWW29h3rx5\n+PzzzzF8+PBwhxXR4pUSwWYO7KYUo8JlADjNKRS6uGiJ1zvzmiCn3/aWPI1Ki8aJELs0toWmlhah\nL4sqtQVWO2t10ibz0RKkVIjdEqOSIBK0YHi+V32TZV5bnhljuFBu9prsXN8/JuTuql2F1nj1PfN2\n48g1qRJyCvZWJVWhrlzvqaamBsuWLcOaNWtw0003tepckaZCbcGvF/Xo31OOwSm0zpKQYhRiPDg1\nGbcOV2Hb9zU4cl6Po+f1uGFQDO74bQL6dW/Z2heEkI5rxowZmD59OjiOw65du1BUVIShQ4eGO6yI\nlaCU4JpkGTQGuyB3kX21EnQU8THhH34gl/ouwwp14Mr82SvNx5zJA3Qbi4sWe10zqZtKArOFQW+2\nIz5G0qyFSNL4fqf1kPvsStZkYC8FZBJHf9Bgkp/4GAm0RnvQa5hZ7QwKaetGs8TFSDCot8I5zbiv\nliMhxzW58lUsBjPvduOjT6IMJY3jxhQyEYakRHldeDnc3Bb/9pLs94iXBuyW1xplPtamc2qjryvB\nxlS1xObNm6HRaLBp0yYsWbIES5cuhcUizF2AcNv3awMYgBlj4ls03owE1r+nAmsWpuDJO3uiXw85\njhbosWZHCd7YW46idhg8TAiJDFlZWSguLgbHcdi/fz9WrFiBb7/9FnZ7x+/6JaSBva7e4BvaJwpy\nqQhjBsYIMjOtZ07lbXxSWyzk3j1OirQerb+R1rQQbTjH6vqrKoS6WCwAqKLEAZPdwSneu8/37ibD\n4BQFBvVWYHCKAkrF1Ukwru8fg1FpjvWagpmN1/VaCKY6FCUXhbQwcO9ushYvJOwqKVaKlEQZEmIk\nzuvZX7wSMYfucW07tMMzsYtXuif/kjaaDFnSypskrq2r3j5R/XrIMWag9+8dIT7PgVqfhJycwu28\nbXLWIL3wwgv4+eefsW3bNmzfvh3btm2DTNbxu3BpjXb8dEaLpFgJbhhE06i3JRHHYczAGKxblIKn\n7+mFQb0V+PWiAWt2lODNzyrarR8yISQ8tmzZgrfffhtmsxl5eXl4+umncdttt8FgMOCVV14Jd3hu\nuinbvzWkb9LVCkpirPfnl0tFuHmoqlUVRM9KirfuVHIvrQlx0a0rk7gYMboJsDaUt9i8cU0u2sLw\nVO+Ly9aFsJh0k2h54Nfka9k1Do6WkKRYKcQiDiP6RUMs4iCTiKCQiSBrLK9gyk0VdbXMuCCaCOQS\nDkmxUvymf3D1p2uSZYgLoaXRX6vkNclyDO0bhaF9oqCKEvuc/AKA33FcQvHW+uhKFSVGTBtck8oo\n4c7peaPixkFKiDjO2XoJOBLjJv7en2CX1An28yy08Ld3d0Lf/NoAq53h96PjaLHadsJxHEb2i8aI\n1CicvWLE7oN1yLmgx6lCA2aNjcftN8Q7fwQIIZ3H3r178dFHHyEqKgqvvfYapkyZgnnz5oExFtQ4\nXcYY1q1bh/z8fMhkMmzYsAF9+/Z1bt+6dSu++uor5zpVjz/+eMBzxsi9r0fVI16KOgFmxrpxkBJH\nC3TOf6uivK+FA7h3KQv0axTloxLu7/xNglgTGTIJ16ybVmtnNVNIRUFV1Furb5IMMQoxrvjoBREb\nLXa7O5+glIQ8C1pstNgtAWmt5CCS5FCnnA+1pK9Jlru3WgZxglAn9gq1NxBjQL/ucr89WpRRYp8J\nrquURKlb18yURBmkEi7kmTn1QU5B7tmTjuM49IyX4mKF49pL6yFHoQCzgvbvKcfJQt9dMKViDt3j\nvU9hH4i/WTZFHOe3dfC6a6JxqtAQcLbUpjXZfE2S0VbfGFTLFFiD3oZ9v9YjNlqMW2ka9XbHcRyG\np0bjrwtS8MeZ3RGjEGHPL2o8v60Y+SWR1++YENI6HMc5Z5I9fPgwJkyY4Hw8GPv374fFYkFmZiZW\nrlyJjIwM57bi4mJ88cUX+Pjjj5GZmYmff/4Z58+fD3jOeGXzinH3OKnfdYR8SYptXsEM5V6dazEE\nKhPPu7syiQhiEefWwuWr0u/ZUpXopfWIAzC0bxSkLomeZwWrR3xoFWqx2L0SJpOI0L9HaN0Mg2np\n6pMkR4JS4vM9dL3rnpIoQ2oLxvZ6e68Bx7inlggmQfN1TXirSsulopBuTg7spWg2gVSgS1fEcQG7\nZoVSHt5aX+NixIK1ZEg9rt8+LZwy3t/CzK68jU9yLa6eCTL079n6brZNXYN9GZyiwDXJcsGGtzS9\nKo7zfqNFIRVd7b4cwlMOTlF4bdwQt9HyCZRUCWzvITXMVoa7b0qAQkbFGy4cx+GmoSq8/OA1mD4m\nDtUaG176uAwf/FAT9JcXISTyicViaDQaVFRUIDc3F+PGjQMAlJaWBrX2YU5OjjMRGzVqFM6cOePc\n1rt3b/zf//0fAMd3is1mg/z/t3fn0VGW9x7Av+8y7+xbkpkhZBkCIQgRUohVERHwkAqWWhElRKVq\naVWOtZ6WqmApjacg2O3cc1u4p4rHeNCWnootF2svag83LdGrSE0qKNF7paxClsk2k8ls73P/eJnJ\nTDKZhSxvgN/nH5iZd948z/Mu8/zeZ9NeXH//Kfm6WPeprL6XbKzIKD1mzTWLCRWyylIjri0zJfy5\ngZVIAMjPkRJaqq52G2A1iri2zJQQJPE8B73EY155/4y4Iq+MtZo6UYfpRXpMnqD8O61AHwsy9Cl+\nS3UaLuHp/fQiHfTa7AqoLIuxXsWO5Mc/fj2sYocWeokfNFYtVbA3VEAFKBXl0WAYxTrK1Ik65CXp\nbppVHTzuuMa3GqUqjxKXNuGcG/j3zHoBBbkSTHp+RLrNDQwqsh2roxE4zL3KHMtquu5tmYz4c9k0\nmDPFmDSozqReGj0XBZ7DtWWmpNtk2wtrqIclM4r0mDJBl5AxnuMSui1Xlhoxe4oxacvrJJcWX5ps\nTNg+Hofkt0ubUcDEHAnlxfoR7VE2Lmr9TU1NWL16tdrJGLZzHUEc+KgbLpsGC2dSK9V4oJd43L0g\nDxurC+Cya7D/H13Y9PLpcbloJiEkew8++CBuv/12rFy5EnfeeSecTifeeOMN3H///VizZk3a73u9\nXpjN5thrURQhy0oFWRAE2GxKAPDss89ixowZcLvdaffJc1x/ZWGA+O54Q1XQE/bFc7h+mglXFfZP\nKDCw4pZqDII0YCprq0FMOXbKaR28r0jcc6hopbUwVwLPcRB4DpOcWvCcUtESeA4mnVK1GFhZSdZF\nkEGpxOVZNLF82IwicszKbGxzrzInjLeIV1FiAMdxsYWGJZGHQSvApBeQnyNhRpEeX56avFIIKN0o\n515lzuppuyhwuG6aadCxi2Z1qEoxx3Fw2TVJu5TNdBtQmj/0uTCwzhedJEL5jAPHcQnvRd+P338y\nqVprslm7J9n+8yyapOWq1fDIz5FQmq+76FYOmbEhxzoNbKmJLwezXohdR5LIY9YkQ9KHBAPNKNLD\n7dQOeiASTf/A6yn+bw4M3OwmMaF1NrrOZrRbbKoHCFFfKjGivLi/zJMVo1bD42q3AddNM2H21P77\nW7JxnWa9gPJiQ9KAa6iAI3ruOC4EztGWaadVg8opxkGtZdEAe2B5W40inDZNf0tVLE39aRk0acaF\nje1GEfl2CXqJH3LCDm6IqIrjALdTC4tBHJGJemJpHbE9XaSdO3di7969MBov/QkdXm3wICIDd92Y\nM25XZr9STZ2ow+Z7lfWt3vywC0//7jRWzs/FLXOsozYLDCFk9C1ZsgSzZ89GR0dHbAp1o9GIzZs3\n47rrrkv7fZPJBJ+vf60XWZbBx9X+g8EgNmzYALPZjNra2rT7K8nXYUKONlbpaPUpizc5HErF5jqL\nAZ+f9aO0QKnEdPZ1DNoHzwMX4rrY97jOICxd/e9ZzijjdUSRw5eusqKrqTNpeiYV2mC2GmExCNBJ\nAhY4zEm3i1fqVwITh0OpGAm6EDr7vHDaJRRMNKJgorJdRYQhwlissnlLrrLv+N+/joAAf0R5iOVy\n9j9stFr1YDJgt+vgcKRewD0sBNDqG3yfdjktsYrgV+wmaAQu1q3H5ezfznJhvElZoQGfnu5fEDp/\nwuCHn0tsRrxztCvhPYtRjB2HGE0QnX3950meTYPr8/WQNHysIhoMy7C0KAfSaZfgcBjhAHDSkxix\nFBdYE7ojOdtk9AVk2M0iNKIBxYUWnIlLUtFEK463KfuonGZWuuWJPCKCFifPK1OCz59pi+3TAaCk\n2IZ/fu6FJ2567uvKrZA0PJblmnDkX76EzwryzdBJmbXkOACcGJCnQeWV5LMWb/JzP/p5XzACS5tS\nfrm5JpSLEk61BFBSZIVO4tHdmHhtxVtg0KMvGEE4AvjCvXDlSJhePLieeUuuCQypW14cDuXfUHM3\nvHFjC/NsGjgcJjgcZvx3XFoM5gjafBysJhHFTh2OnfRhWpEh9gChyxdG4/8qYyLdhcpDG5vdiHOe\nIPJztTj4UfJrOcciYnKxaVBajZYIPH08JtglOByDA9wefxgWs3KNTS4ywRvqH4/pskuY7lbKpa23\nC1JAhs2mnKtR0XsNAJQW6OG0S7FrPi/PhN6ADKNOQJcvHJtxsgBAWYmMd44oJ25xgRXuQht4Lvnk\nHgFo0Bv2x64Tq03G6QvF4HIlXqdWD4Pgj8BmVcofADgpiPbewUFhXp4J0zVanDiXOO2/I88Em2nk\nZ25UPahyu93Yvn07nnjiCbWTMiz/90Uf3v/Uh8kuLb5MM/6NS5KGx72L8jBrkgHP7W/B7+rbcfRE\nLx5a6hrRwcGEkLHlcrngcrlirxcsWJDxd+fMmYMDBw5gyZIlaGxsRFlZWcLna9euxdy5c/Gtb30r\no/25XXq0tvbEXufoZYgCl/CeywT0dPnQA6C7Z/BYz4JcKTYAvLVV+Zlu6w6hu6cv9l7899rahNhr\nm1GE1x9BuVsPWQY8Hi84AD1dQA8yo9TLZLS29leypzh4SGIkIR+Z6OwMoLsnCJHvLwOHw4ye7j7I\njMGjicAspp7QoasnjO4ef8KCnXqJj5VhOtGyaWuX4TRxOH4+AIdVM2ReBDmEjrh1mSIhAa2tiduE\nQnLCMSjO4eDt7sVABTZl9rMcXX/ZucwM5ztDKMiR4A/K8Hi8Cd9x2zkEQhwmFZnR0tKN7k5fwt9q\nbROQbwE6fWH4e3rRd+HBoElgKLQpLQ8D9wkADgODnlO6KuaYRXR19j9M6PX2obsnBLNeQIlLi56u\n3ozPFyDxPM6zDF22Q30niucSr5XoNu3tHCx6AdMnCrHj7jAy5OQah/xbPAANYyiwAkZN9ufuQD09\nfvT4I+A5DhPsGtgkPrZPm05GRGax11NdPDQCgxzoQ5lLAAsqDxba2gLw+iOxfEWvbwDQcUCHJ5S0\nXACgvMAMT/vg4woAZU4BQPI8GsyG2PVz9hyL3UcA5byNfscoRnC+rQ8FVqC1tb95enIej7CsrAWm\nQQhdHYNnVe698GfbB1wCPd4+MMbg8QgpH2BrGEO+BbBo+/MgIgRDXBlHdXX54QtEILAQWlv7g3mn\niaHHH0lY/6q9nYNB4hPKtDBXQqDXj1Z/fzmkegiQDdWDqqqqKpw5c0btZAxLMCxj55stAIDqm3Jp\nXapxblaJAVtWF+K5/2rBP//lx6aXT+PRr7lGZHAnIeTSUlVVhYaGBqxatQoAsHXrVtTV1cHtdiMS\nieCDDz5AKBRCfX09OI7DunXrUFFRkfH+84foupaMSSdg8gQtGAPOtAcTupjZjCIsBgH5A8aTxK89\nFX0tCtnPiJbOxY4RjnY/lAYsbDu9SI8TLQHkZzDTm90kwO3UwmYUcKIliE5fGNMKU7duxeM5DjJj\n0Es8bCYx7ax4xU4JXCsQCCmL3yabHCA6DX06ybpmRrs7AoBt0KdKS58oKA/6oscxPtDmOQ45ZnHQ\nBBscx6WcWlwUONhMYtK/WezQKi0MOZqLmik3xyTC4w2josSQURc2QDmnZFkZM3OiJYCznsEzyVkN\nIrp6w7FuY/EVc6dNA0eOFq2tQ89Ax3HcoLWdLla0gYUBgyYiGTghR6qxk0Ydj6I8bUZT3o8Eo05A\nab6y1lj8Is4cxyUsDu2yaeCwiINakoaaFTQT5cV6BMMsbY+g6Dkdb9oQa6hFu/oNbLFzWDXoCyaO\nmeeQOPFJZakx63Gt2VA9qLoc7Gnw4Ex7CDfPsmB6UeY3eqIeq1HEujvy8Z/vdeCP73Rg8+/P4J6F\nebh5loWCYkKuIBzH4emnn054r6SkJPb/pqamMUvL1Im6WPBy3TRTQmVAFLiEcRROqwYyGzxttsCP\nfEA1HE6rBr0BGS5bYnXDYhAwc1L6KasBpcIVHVc1rVCHUJhlNXvbtWXGWBelTBi0AqYV6nGmPQhf\na2Rc9GQozJNgN4mx8WojTSNyw1p0dVqhHuEIy2row1BjveKVFegQCMnjYuKvaHfKZEF2NjiOSzlL\nYHRa9PilDIYbCETvE6GIsh+7SUTZRN2gAGqk190ajWtnSr4OJ1uDcDsyeGA1IDujGVAB4yioGu5J\nqpZjp/z4r8NdcNk0qFmQq3ZySBZ4jsPt1+dgygQd/uON83jpr21oPt2HB6ocGT9pI4SQ4SgvNuCz\ns32wGISESSzSPdmdMqCFaqbbgIjMRn0x0mxpRA5Ts5hdLx2e4xLKKRMcx13UTG/5ORqldcuoflDF\nc9y4CO5SyXYsefz20bwNnDEwvtVObSUuLbx+eUQWm05lgl2KzXDYF5SV1t4RuqwtBhGzJimtiePt\nXpEprYYf8p4yKJK48IZZLyAUHv04Y9wEVePpyVqm/AEZz+1vATjgoSVO1VZwJsMzc5IBP1ldhO2v\nn8P/NHtxoiWAR5a5MpqZixBChsNiEFKuB5Mp0zivcF+KknVJIqMjx3yhsj9GXeIuhiSmXrtpNIxG\nC91ITCU/XsW3z+RZNNBJSmyRyULOI2FcnL0FBQXYvXu32snISjAk49/+8wu0dYfxtWttKB3BJ3Fk\n7OWaRTy1sgC3zLHii44QfvzKafzhYDuCtKYVIYQQMuqMutSTGRCSTvThUn6OhKkTL37a/otFj2Au\nQijM8O/7zuGTU32oLDVi+dwctZNERoAocLhnYR6uduvx0l/bsO/9TrzX7MVdN+bimqnGEV0gjhBC\nCCGEjJxcs4jZk41ZdxEeKRRUZSkcYdjxxnn8819+VJQY8MhXXVTZvsxUlBix9T49XnvHg/3/6ML2\nP59HjknAzRVWfLnMiAm25IsaEkIIIYQQ9ag5qQkFVVn41/kAnt/fglNtQcwo0uPRZS5a5PcypdXw\nqFmQh4WzLHjrwy4cPNqDVxs8eLXBA6tBQFmBDg6rBhaDEFv5OxwBIjJDX1BGX4ghGJYh8Bw0gjKw\n2mXTYIJdgtMmjvoMNIQQQgghZOyoGlQxxlBbW4vm5mZIkoQtW7agqKhIzSQl5fVHsP8fXXj9UAci\nMrBopgV3L8y9qLUcyKUl3y7hGzc7cOe8HPxPsxefnOpD82k/Dn3mS//lIQi8sqZFiUuLEpcWE+wS\n8nM0sBkFagEjZIxl8jvk8XhQU1ODffv2QZIyX3eKEELIlUPVoOrtt99GMBjE7t270dTUhK1bt2LH\njh1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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6458f89748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "chain = kernel_trace[5000:]\n",
    "pm.traceplot(chain);\n",
    "plt.savefig('B04958_08_02.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>mc_error</th>\n",
       "      <th>hpd_2.5</th>\n",
       "      <th>hpd_97.5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>gamma__0</th>\n",
       "      <td>0.156775</td>\n",
       "      <td>0.202541</td>\n",
       "      <td>0.013386</td>\n",
       "      <td>-0.247135</td>\n",
       "      <td>0.572947</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gamma__1</th>\n",
       "      <td>0.919370</td>\n",
       "      <td>0.148311</td>\n",
       "      <td>0.008245</td>\n",
       "      <td>0.637775</td>\n",
       "      <td>1.216106</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gamma__2</th>\n",
       "      <td>-0.991008</td>\n",
       "      <td>0.144644</td>\n",
       "      <td>0.007418</td>\n",
       "      <td>-1.260084</td>\n",
       "      <td>-0.713768</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gamma__3</th>\n",
       "      <td>0.321377</td>\n",
       "      <td>0.161182</td>\n",
       "      <td>0.010181</td>\n",
       "      <td>0.019113</td>\n",
       "      <td>0.656777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gamma__4</th>\n",
       "      <td>0.440441</td>\n",
       "      <td>0.262478</td>\n",
       "      <td>0.019041</td>\n",
       "      <td>-0.050492</td>\n",
       "      <td>0.940686</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sd</th>\n",
       "      <td>0.272039</td>\n",
       "      <td>0.055570</td>\n",
       "      <td>0.002762</td>\n",
       "      <td>0.184974</td>\n",
       "      <td>0.385658</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              mean        sd  mc_error   hpd_2.5  hpd_97.5\n",
       "gamma__0  0.156775  0.202541  0.013386 -0.247135  0.572947\n",
       "gamma__1  0.919370  0.148311  0.008245  0.637775  1.216106\n",
       "gamma__2 -0.991008  0.144644  0.007418 -1.260084 -0.713768\n",
       "gamma__3  0.321377  0.161182  0.010181  0.019113  0.656777\n",
       "gamma__4  0.440441  0.262478  0.019041 -0.050492  0.940686\n",
       "sd        0.272039  0.055570  0.002762  0.184974  0.385658"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.df_summary(chain)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [00:02<00:00, 40.80it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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CDiNEGFsbMQGm1vDD7mKxwpMYtma2HuiK1AsxvZ7NnF1N5MgLCF6076nfct0S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86kvb2dX3/9FcdxMMaMeH76/LT8DTk5OfT19Q19nK6l7yU///wzixcvJhKJ8Nhjj7kdJ2Vr166l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\niIhIBvk/p1au7UkiTB4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f645efd4dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ppc = pm.sample_ppc(chain, model=kernel_model, samples=100)\n",
    "\n",
    "plt.plot(x, ppc['yl'].T, 'ro', alpha=0.1)\n",
    "\n",
    "plt.plot(x, y, 'bo')\n",
    "plt.xlabel('$x$', fontsize=16)\n",
    "plt.ylabel('$f(x)$', fontsize=16, rotation=0)\n",
    "plt.savefig('B04958_08_03.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6d4Y2DAjrTjMl+QCTOe1bFUHSHIqCtG0IqxK/WhKaCrfawd48ILHbdBII5RpX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\nfXXbil+8d5IME4QPFXcp+uvTs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+DqdTg6wNcNZjwhuHJNbuw6Nz5cFxbWZYJ4a3HrtWwd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\ndUTTMxRHj1AtHAm7FlNTxI0WxnvQGjM9jdl0ftjdH2b4OAqVBOM01DgwB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8zm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\nAzq1SgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f645841c0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new_x = np.linspace(x.min(), x.max(), 100)\n",
    "k = gauss_kernel(new_x, n_knots)\n",
    "gamma_pred = chain['gamma']\n",
    "for i in range(100):\n",
    "    idx = np.random.randint(0, len(gamma_pred))\n",
    "    y_pred = np.dot(gamma_pred[idx], k)\n",
    "    plt.plot(new_x, y_pred, 'r-', alpha=0.1)\n",
    "plt.plot(x, y, 'bo')\n",
    "plt.xlabel('$x$', fontsize=16)\n",
    "plt.ylabel('$f(x)$', fontsize=16, rotation=0)\n",
    "plt.savefig('B04958_08_04.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Gaussian Processes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "squared_distance = lambda x, y: np.array([[(x[i] - y[j])**2 for i in range(len(x))] for j in range(len(y))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/scipy/stats/_multivariate.py:533: RuntimeWarning: covariance is not positive-semidefinite.\n",
      "  out = random_state.multivariate_normal(mean, cov, size)\n"
     ]
    },
    {
     "data": {
      "image/png": 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7R/36V5M4egjV14dp+U3INjsAGS3D3tAO9JKBpbbhTSQda4rTif3R7K5zwd/8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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f64584aa3c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(1)\n",
    "test_points = np.linspace(0, 10, 100)\n",
    "cov = np.exp(-squared_distance(test_points, test_points))\n",
    "plt.plot(test_points, stats.multivariate_normal.rvs(cov=cov, size=6).T)\n",
    "plt.xlabel('$x$', fontsize=16)\n",
    "plt.ylabel('$f(x)$', fontsize=16, rotation=0)\n",
    "plt.savefig('B04958_08_05.png', dpi=300, figsize=[5.5, 5.5]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/scipy/stats/_multivariate.py:533: RuntimeWarning: covariance is not positive-semidefinite.\n",
      "  out = random_state.multivariate_normal(mean, cov, size)\n"
     ]
    },
    {
     "data": {
      "image/png": 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+24Pew2nUzL+HA3onj/c+hCIp3Ff5F1TaR9785UQpLx9ZDpLyj//4j/84NqaM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\nl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pgDnJgXYZ5uEYv0S1igq0QWLx/DnHwt3/lMIT/Z2ktNo4/zzwf54q12KmeNLmSfWWZC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\nKt444OQ7L3XQ5kgd41ffGeD7v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Wmg1Cmh0imh0ioR8ITgHpjE5IgP+GJtTmNRI3dpOtIq\nkuOqMYuunCnbgNJb83D2HRvO7OmO6Zu2cDCCM2/3wDvqR+bCFFnud5+JmyvN+N/Do/jg2Di+u8AC\nRRw+txjwRAnAmKFH8S16FK7IwlinCyNt4xjvdsHr+HqTj6AUYMrSw5RtgDnbgKQikyz3JF/trKUW\nFK7IQnfDIE7v7sac9YXQmqMb8pGwiPZ3bXAPeJFSnoSC6qyrtofDYlBh2VwzGlpdOHLWg+/MMUld\n0tcw4IkSiEKlQEpZElLKkiBGRIT8YYT9YYR8U/9UWiUM6TpOortKZC5IRcATwsDREZx8vRNl6wqi\ndvpf2B9G+9/7MNblhiXfiJI18pkzf6XuXGrFgRMu7PnYiaXlRiji7P7gqwBRghIUAtR6FXTJWpiy\nDEguMsOUbWC4X2XybsxAQXUWgpMhtL3ZCWcUpt35xvw48Ubn1FkFeUaU3ZHPVSEAmclq3FhhQq8j\ngGPt8XfKHP9CREQJTBAEZF2firI78wEAZ//PhoHPRmZt5PFYlwsnXu+Azzn1mfuc7xdCqeHchPPW\nLbVCALDnE2dcHf0MMOCJiGTBWmLB3LuKoTaqYDtox7l3bPA6r3wQSyQUQf+nwzjzdg8iIREla3JR\nuCKbjZr/JDdVg8VlRnTa/TjeHfsdDdNhwBMRyYQxQ4/5d5fAlK2Hs92F4zvOoevDfgQ8Mz/eNByM\nYLDZgZZXzqL38BDUBhXm3lV81W2Fuxzfu8EKANj9cXxdxbPJjohIRjRmNebeVQxnhwu9h+wYOu7E\nyKkxZFybAku+EcYMPdSGr770R0IR+CeCGOt0YeCzEYS8YSjUCmRVpSK7Ku1r309fVZihxcISA5o7\nJtHW68Pc/Og0Ol4u/tWIiGRGEASklFpgLTZj+KQTfZ8MY/CYA4PHHAAAjUkFQ7oekVAEvvEAAq7g\nhbkJSo0COUvSkLkwFWo9I2Km/vUGK5o7JrH7EycDnoiIoktQCMioTEHqnGRM9HowOeSFx+6FZ8iH\nsc6psbJqgwrmbAO0yRoY0nRIm5vMw4euQGm2DpWFerR2e3G614s5edKHPAOeiEjmlGoFrMVmWIun\nZpmLoji1DK8S2BE/i9bfmILW7j68un8ET2zMg1LihkQ22RERXWUEQYDaoGK4z7KyHB2q55thGwlg\nb7P0J80x4ImIiGbJj6pTYdQq8OahUYy5Q5LWwoAnIiKaJRaDEj9cngJfQMSfDzgkrYUBT0RENItW\nXmtBSaYWh9vcONkj3fAbBjwREdEsUigE3Lc6DQKAV/cPIxSWZvgNA56IiGiWlWTpsGqBBf2jQbzb\nNCZJDQx4IiKiKPjhshRYDEq8dWgUbb2xX6pnwBMREUWBUafEg7dnAgD+tGcQw+MzPxNgNjDgiYiI\nomRegR6bbkmD2xfB038dgNcfidnvZsATERFF0S3XJWHNwiT0OYJ49h07IpHYNN0x4ImIiKLs3pWp\nqCzUo6VzEq9/FJv98Qx4IiKiKFMqBDx0RyayrGq82zSOPzeMRH37HAOeiIgoBow6JbZ8P/tCyP/H\n631RbbxjwBMREcVIplWNxzfkYdlcEzoG/Xh0Ry+OnHFH5Xcx4ImIiGJIr1Hg/tsy8e+3piMUFvFf\nf7PjP3cP4kDrBEZdXz2gRhRFON0hfN41edm/h+fBExERSaB6vgWl2Tr89zt2NLV70NTuAQDkpKhR\nmq2DYyIE24gfLu/U1rrVSzIv6+cz4ImIiCSSk6LBExvy0D8aRGv3JFq7vThl86J/1AUAyEhSoTxX\nj4J0zWX/bAY8ERGRhARBQG6qBrmpGtxalYxgSMSgM4A0ixp67ZV/ks6AJyIiiiNqlYD8dO23/jls\nsiMiIpIhBjwREZEMMeCJiIhkiAFPREQkQwx4IiIiGWLAExERyRADnoiISIYY8ERERDLEgCciIpIh\nBjwREZEMMeCJiIhkiAFPREQkQwx4IiIiGWLAExERyRADnoiISIYY8ERERDLEgCciIpIhBjwREZEM\nMeCJiIhkiAFPREQkQwx4IiIiGWLAExERyZBK6gIAwOv1YsuWLRgfH4dWq8Uf/vAHZGRkSF0WERFR\nwoqLK/g33ngDlZWVeO2117Bu3To8//zzUpdERESU0OLiCr62thaiKAIA+vv7kZSUJHFFREREiS3m\nAb9r1y688sorX/m/rVu3orKyErW1tTh79ixefPHFWJdFREQkK4J4/tI5TnR0dOD+++/HBx98IHUp\nRERECSsuPoPfvn07du/eDQDQ6/VQKpUSV0RERJTY4uIK3uFwoK6uDn6/H6IoYsuWLbj++uulLouI\niChhxUXAExER0eyKiyV6IiIiml0MeCIiIhliwBMREckQA56IiEiGEirgRVHEY489hpqaGtx3332w\n2WxSlyQ7oVAIjzzyCDZs2IC7774b+/fvl7ok2XI4HFi5ciU6OzulLkW2tm/fjpqaGvzgBz/Am2++\nKXU5shMKhbBlyxbU1NRg48aNfCxHQUtLCzZt2gQA6Onpwb333ouNGzfi8ccfv+RtEyrg9+7di0Ag\ngJ07d2LLli3YunWr1CXJzp49e2C1WvHaa69h+/bt+N3vfid1SbIUCoXw2GOPQafTSV2KbB05cgTH\njh3Dzp07UV9fj4GBAalLkp2GhgZEIhHs3LkTDz74IP74xz9KXZKsvPDCC/jtb3+LYDAIYGrq6y9+\n8Qvs2LEDkUgEe/funfb2CRXwTU1NqK6uBgAsWLAAra2tElckP7fddhs2b94MYGrFRKWKi+MKZOfJ\nJ5/EPffcw1MTo+jgwYMoLy/Hgw8+iAceeACrVq2SuiTZKSoqQjgchiiKcLlcUKvVUpckK4WFhXjm\nmWcufH3ixAksXrwYALBixQocPnx42tsn1Ku32+2G2Wy+8LVKpUIkEoFCkVDvU+KaXq8HMHVfb968\nGT//+c8lrkh+3nrrLaSmpmLZsmV47rnnpC5HtpxOJ/r7+7Ft2zbYbDY88MADeO+996QuS1aMRiN6\ne3uxdu1ajI2NYdu2bVKXJCtr1qxBX1/fha+/PLbGaDTC5XJNe/uESkaTyQSPx3Pha4Z7dAwMDKC2\nthbr16/H7bffLnU5svPWW2+hsbERmzZtQltbG+rq6uBwOKQuS3aSk5NRXV0NlUqF4uJiaLVajI6O\nSl2WrLz88suorq7G+++/jz179qCurg6BQEDqsmTry3nn8XhgsVim//5oFzSbqqqq0NDQAABobm5G\neXm5xBXJz8jICH7yk5/gl7/8JdavXy91ObK0Y8cO1NfXo76+HhUVFXjyySeRmpoqdVmys2jRInz0\n0UcAALvdDp/PB6vVKnFV8pKUlASTyQQAMJvNCIVCiEQiElclX/PmzcOnn34KADhw4AAWLVo07fcn\n1BL9mjVr0NjYiJqaGgBgk10UbNu2DRMTE3j22WfxzDPPQBAEvPDCC9BoNFKXJkuCIEhdgmytXLkS\nR48exV133XVhBw7v79lVW1uLX//619iwYcOFjno2jkZPXV0dHn30UQSDQZSWlmLt2rXTfj9n0RMR\nEclQQi3RExER0cww4ImIiGSIAU9ERCRDDHgiIiIZYsATERHJEAOeiIhIhhjwREREMsSAJyIikiEG\nPBERkQwx4ImIiGSIAU9ERCRDCXXYDBFJw+fzob6+HlqtFsePH0dNTQ1aWlrQ3NyMzZs3o7S0VOoS\nieif8AqeiC7p1VdfxcaNG3HfffdhcnISr7/+Ompra3Ho0CEMDg5KXR4RfQNewRPRtERRxOLFi6HX\n6wEAHR0d+NWvfgWlUomjR49KXB0RXQyv4IloWoIgoKqqCgBgt9ths9mwePFiiasiokthwBPRJYmi\nCAA4fPgw5s+fD4PBAABoamqSsiwimgYDnoim9f7772P58uUAgH379qG4uBgAMDk5iebmZilLI6Jp\nCOL5t+ZERN+gubkZL730EhYuXIgFCxZgx44dWLJkCXw+H+69915otVqpSySib8CAJyIikiEu0RMR\nEckQA56IiEiGGPBEREQyxIAnIiKSIQY8ERGRDDHgiYiIZIgBT0REJEMMeCIiIhn6f1UnEgzKB+9B\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f64584aada0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(1)\n",
    "eta = 1\n",
    "rho = 0.5\n",
    "sigma = 0.03\n",
    "D = squared_distance(test_points, test_points)\n",
    "\n",
    "cov = eta * np.exp(-rho * D)\n",
    "diag = eta * sigma\n",
    "\n",
    "np.fill_diagonal(cov, diag)\n",
    "\n",
    "for i in range(6):\n",
    "    plt.plot(test_points, stats.multivariate_normal.rvs(cov=cov))\n",
    "plt.xlabel('$x$', fontsize=16)\n",
    "plt.ylabel('$f(x)$', fontsize=16, rotation=0)\n",
    "plt.savefig('B04958_08_06.png', dpi=300, figsize=[5.5, 5.5]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/scipy/stats/_multivariate.py:533: RuntimeWarning: covariance is not positive-semidefinite.\n",
      "  out = random_state.multivariate_normal(mean, cov, size)\n"
     ]
    },
    {
     "data": {
      "image/png": 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NpxoX7pwy9GtiAdmN18iuXdPDVYy4x1gS9CCuXICXj76hHsHt26vneCX3In2v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LKDdC2hGBOMwT08U218nChXwwpmsoM5PCLe21cNdGTpeoMYmxd6ow1BDZSSJ6RgHzNcF9Cy1HXZ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\npZRSagb9fxHtxrgmuq5XAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f645109beb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(1)\n",
    "\n",
    "K_oo = eta * np.exp(-rho * D) \n",
    "\n",
    "D_x = squared_distance(x, x)\n",
    "K = eta * np.exp(-rho * D_x)\n",
    "diag_x = eta + sigma\n",
    "np.fill_diagonal(K, diag_x)\n",
    "\n",
    "D_off_diag = squared_distance(x, test_points)\n",
    "K_o = eta * np.exp(-rho * D_off_diag)\n",
    "\n",
    "# Posterior mean\n",
    "mu_post = np.dot(np.dot(K_o, np.linalg.inv(K)), y)\n",
    "# Posterior covariance\n",
    "SIGMA_post = K_oo - np.dot(np.dot(K_o, np.linalg.inv(K)), K_o.T)\n",
    "\n",
    "\n",
    "for i in range(100):\n",
    "    fx = stats.multivariate_normal.rvs(mean=mu_post, cov=SIGMA_post)\n",
    "    plt.plot(test_points, fx, 'r-', alpha=0.1)\n",
    "\n",
    "plt.plot(x, y, 'o')\n",
    " \n",
    "plt.xlabel('$x$', fontsize=16)\n",
    "plt.ylabel('$f(x)$', fontsize=16, rotation=0)\n",
    "plt.savefig('B04958_08_07.png', dpi=300, figsize=[5.5, 5.5]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/fIkNe2QGUYKAU/DTJrj45x2Utm+FQKCctFJBHoBxNfa01lG13p1MViyOamgu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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6450e32d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(1)\n",
    "eta = 1\n",
    "rho = 0.5\n",
    "sigma = 0.03\n",
    "\n",
    "# This is the true unknown function we are trying to approximate\n",
    "f = lambda x: np.sin(x).flatten()\n",
    "\n",
    "# Define the kernel\n",
    "def kernel(a, b):\n",
    "    \"\"\" GP squared exponential kernel \"\"\"\n",
    "    D = np.sum(a**2,1).reshape(-1,1) + np.sum(b**2,1) - 2*np.dot(a, b.T)\n",
    "    return eta * np.exp(- rho * D)\n",
    "\n",
    "N = 20         # number of training points.\n",
    "n = 100         # number of test points.\n",
    "\n",
    "# Sample some input points and noisy versions of the function evaluated at\n",
    "# these points. \n",
    "X = np.random.uniform(0, 10, size=(N,1))\n",
    "y = f(X) + sigma * np.random.randn(N)\n",
    "\n",
    "K = kernel(X, X)\n",
    "L = np.linalg.cholesky(K + sigma * np.eye(N))\n",
    "\n",
    "# points we're going to make predictions at.\n",
    "Xtest = np.linspace(0, 10, n).reshape(-1,1)\n",
    "\n",
    "# compute the mean at our test points.\n",
    "Lk = np.linalg.solve(L, kernel(X, Xtest))\n",
    "mu = np.dot(Lk.T, np.linalg.solve(L, y))\n",
    "\n",
    "# compute the variance at our test points.\n",
    "K_ = kernel(Xtest, Xtest)\n",
    "sd_pred = (np.diag(K_) - np.sum(Lk**2, axis=0))**0.5\n",
    "\n",
    "\n",
    "plt.fill_between(Xtest.flat, mu - 2 * sd_pred, mu + 2 * sd_pred, color=\"r\", alpha=0.2)\n",
    "plt.plot(Xtest, mu, 'r', lw=2)\n",
    "plt.plot(x, y, 'o')\n",
    "plt.xlabel('$x$', fontsize=16)\n",
    "plt.ylabel('$f(x)$', fontsize=16, rotation=0)\n",
    "plt.savefig('B04958_08_08.png', dpi=300, figsize=[5.5, 5.5]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 1000/1000 [00:36<00:00, 27.47it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.\n",
      "         Current function value: -6.330981\n",
      "         Iterations: 15\n",
      "         Function evaluations: 17\n",
      "         Gradient evaluations: 17\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as GP:\n",
    "    mu = np.zeros(N)\n",
    "    eta = pm.HalfCauchy('eta', 5)\n",
    "    rho = pm.HalfCauchy('rho', 5)\n",
    "    sigma = pm.HalfCauchy('sigma', 5)\n",
    "    \n",
    "    D = squared_distance(x, x)\n",
    "    \n",
    "    K = tt.fill_diagonal(eta * pm.math.exp(-rho * D), eta + sigma)\n",
    "    \n",
    "    obs = pm.MvNormal('obs', mu, cov=K, observed=y)\n",
    "\n",
    "    test_points = np.linspace(0, 10, 100)\n",
    "    D_pred = squared_distance(test_points, test_points)\n",
    "    D_off_diag = squared_distance(x, test_points)\n",
    "    \n",
    "    K_oo = eta * pm.math.exp(-rho * D_pred)\n",
    "    K_o = eta * pm.math.exp(-rho * D_off_diag)\n",
    "    \n",
    "    mu_post = pm.Deterministic('mu_post', pm.math.dot(pm.math.dot(K_o, tt.nlinalg.matrix_inverse(K)), y))\n",
    "    SIGMA_post = pm.Deterministic('SIGMA_post', K_oo - pm.math.dot(pm.math.dot(K_o, tt.nlinalg.matrix_inverse(K)), K_o.T))\n",
    "    \n",
    "    start = pm.find_MAP()\n",
    "    trace = pm.sample(1000, start=start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rjBw5sq9iDFusM95//LsJW76ox8JZaZg3NSWmj00IIYmmv0/jeOONN/Dyyy+r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\nCotb8PbO+j5r3UgIIYS0Hcw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M0e3UPOVou9K8oKNZaG2nHnHoOE+rbhKQ1MEat2aXGFJx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jZzBnzhxs27YNgKw9KkkSAGDWrFnYuXMnEokEgsEgjhw5gilTpujOefvtt3HBBRfg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\niIiI1EmFSkREREREpE6/ANgPxY32TSGzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6458f89710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "varnames = ['eta', 'rho', 'sigma']\n",
    "chain = trace[100:]\n",
    "pm.traceplot(chain, varnames)\n",
    "plt.savefig('B04958_08_09.png', dpi=300, figsize=[5.5, 5.5]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>mc_error</th>\n",
       "      <th>hpd_2.5</th>\n",
       "      <th>hpd_97.5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>eta</th>\n",
       "      <td>2.9063</td>\n",
       "      <td>3.6929</td>\n",
       "      <td>0.2347</td>\n",
       "      <td>0.2920</td>\n",
       "      <td>7.9621</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rho</th>\n",
       "      <td>0.1277</td>\n",
       "      <td>0.0520</td>\n",
       "      <td>0.0029</td>\n",
       "      <td>0.0563</td>\n",
       "      <td>0.2397</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sigma</th>\n",
       "      <td>0.0006</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0013</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         mean      sd  mc_error  hpd_2.5  hpd_97.5\n",
       "eta    2.9063  3.6929    0.2347   0.2920    7.9621\n",
       "rho    0.1277  0.0520    0.0029   0.0563    0.2397\n",
       "sigma  0.0006  0.0003    0.0000   0.0002    0.0013"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.df_summary(chain, varnames).round(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/ipykernel/__main__.py:1: RuntimeWarning: covariance is not positive-semidefinite.\n",
      "  if __name__ == '__main__':\n"
     ]
    },
    {
     "data": {
      "image/png": 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1VqsQzeVXf3KrgMzlaL/jMHzgjgVj+p//iebZ02swK4fjxqN54Tz6508Ahkeq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\nQoCIiEiNUggQERGpUQoBIiIiNer/A6pU5lsXYUyXAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6450d8cb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_pred = [np.random.multivariate_normal(m, S) for m,S in zip(chain['mu_post'][::5], chain['SIGMA_post'][::5])]\n",
    "\n",
    "for yp in y_pred:\n",
    "    plt.plot(test_points, yp, 'r-', alpha=0.1)\n",
    "\n",
    "plt.plot(x, y, 'bo')\n",
    "plt.xlabel('$x$', fontsize=16)\n",
    "plt.ylabel('$f(x)$', fontsize=16, rotation=0)\n",
    "plt.savefig('B04958_08_10.png', dpi=300, figsize=[5.5, 5.5]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Periodic Kernel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "periodic = lambda x, y: np.array([[np.sin((x[i] - y[j])/2)**2 for i in range(len(x))] for j in range(len(y))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 1000/1000 [00:19<00:00, 51.68it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.\n",
      "         Current function value: -15.535429\n",
      "         Iterations: 14\n",
      "         Function evaluations: 16\n",
      "         Gradient evaluations: 16\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as GP_periodic:\n",
    "    mu = np.zeros(N)\n",
    "    eta = pm.HalfCauchy('eta', 5)\n",
    "    rho = pm.HalfCauchy('rho', 5)\n",
    "    sigma = pm.HalfCauchy('sigma', 5)\n",
    "    \n",
    "    P = periodic(x, x)\n",
    "    \n",
    "    K = tt.fill_diagonal(eta * pm.math.exp(-rho * P), eta + sigma)\n",
    "    \n",
    "    obs = pm.MvNormal('obs', mu, cov=K, observed=y)\n",
    "\n",
    "    test_points = np.linspace(0, 10, 100)\n",
    "    D_pred = periodic(test_points, test_points)\n",
    "    D_off_diag = periodic(x, test_points)\n",
    "    \n",
    "    K_oo = eta * pm.math.exp(-rho * D_pred)\n",
    "    K_o = eta * pm.math.exp(-rho * D_off_diag)\n",
    "    \n",
    "    mu_post = pm.Deterministic('mu_post', pm.math.dot(pm.math.dot(K_o, tt.nlinalg.matrix_inverse(K)), y))\n",
    "    SIGMA_post = pm.Deterministic('SIGMA_post', K_oo - pm.math.dot(pm.math.dot(K_o, tt.nlinalg.matrix_inverse(K)), K_o.T))\n",
    "    \n",
    "    start = pm.find_MAP()\n",
    "    trace = pm.sample(1000, start=start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ks8PVbgiiiPp2H0bYDKkOhwwicu8UGUDpWJTikUcewcqVK9HS0gIAGD16NB5/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\nYWAUE1NabmS9GYuRiyoOnGUTkGGV+xoeF4PAoniQEVYjq2T4tZpkJTTXz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sFgMAy4OdHr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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6450d385c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "varnames = ['eta', 'rho', 'sigma']\n",
    "chain = trace[100:]\n",
    "pm.traceplot(chain, varnames);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/ipykernel/__main__.py:1: RuntimeWarning: covariance is not positive-semidefinite.\n",
      "  if __name__ == '__main__':\n"
     ]
    },
    {
     "data": {
      "image/png": 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69PWGmtN4WusoW7ZsyH9mNhuOz1iks/Nz1qNR2k5ehs52Nmj72VqyKe2aL2wY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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f642c364d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_pred = [np.random.multivariate_normal(m, S) for m,S in zip(chain['mu_post'][::5], chain['SIGMA_post'][::5])]\n",
    "\n",
    "for yp in y_pred:\n",
    "    plt.plot(test_points, yp, 'r-', alpha=0.1)\n",
    "\n",
    "plt.plot(x, y, 'bo')\n",
    "plt.xlabel('$x$', fontsize=16)\n",
    "plt.ylabel('$f(x)$', fontsize=16, rotation=0)\n",
    "plt.savefig('B04958_08_11.png', dpi=300, figsize=[5.5, 5.5]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook was created on a computer x86_64 running debian stretch/sid and using:\n",
      "Python 3.5.2\n",
      "IPython 5.0.0\n",
      "PyMC3 3.0.rc2\n",
      "NumPy 1.11.2\n",
      "SciPy 0.18.1\n",
      "Pandas 0.19.1\n",
      "Matplotlib 1.5.3\n",
      "Seaborn 0.7.1\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import sys, IPython, scipy, matplotlib, platform\n",
    "print(\"This notebook was created on a computer %s running %s and using:\\nPython %s\\nIPython %s\\nPyMC3 %s\\nNumPy %s\\nSciPy %s\\nPandas %s\\nMatplotlib %s\\nSeaborn %s\\n\" % (platform.machine(), ' '.join(platform.linux_distribution()[:2]), sys.version[:5], IPython.__version__, pm.__version__, np.__version__, scipy.__version__, pd.__version__, matplotlib.__version__, sns.__version__))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
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